Chapter 5 and 6: Polynomials and Radicals Crossword

Type
Crossword
Description

Largest exponent of a polynomial Degree
When two perfect cubes are subtracted; a ____ __ ______ difference of cubes
Factoring by finding GCF of two terms at a time grouping
A polynomial with a degree of three Cubic
A polynomial with a degree of four Quartic
How a polynomial rises or falls to the left and right end behavior
Factoring method used when two perfect cubes are being added Sum of cubes
A number that is multiplied by a variable Coefficient
When dividing a polynomial by (x - a), you can use _____ _____. synthetic division
a+bi and a-bi are called complex __________. conjugates
The solution of a polynomial; also part of a tree root
A number that is not a repeating or terminating decimal irrational
Polynomial form where degrees are in decreasing order Standard
________'s Triangle; each number is the sum of the two above it Pascal
A symbol used when taking the root of a number Radical
Number that determines what kind of root Index
The ____ root of 81 is 9 Square
A solution that does not work for the original equation Extraneous

Chapter 1 Real Numbers Crossword

Type
Crossword
Description

The Number that is going to be raised by a power. Base
One of the three equal factors of a number Cube root
The number of times the base is used as a factor Exponent
A number that can't be expressed as a fraction Irrational number
A number that can be expressed as a fraction Rational number
Any number or variable with one or more variables Monomial
A rational number whose cube root is a whole number Perfect Cube
A product of repeating factors using an exponent and a base. Power
The symbol used to indicate a positive square root. Radical sign
A compact way of writing numbers with absolute values that are very large or very small. Scientific Notation

Math Terms Crossword Puzzle

Type
Crossword
Description

A two-termed polynomial is a __________. binomial
In a term, the sum of the exponents on the variables is the _______ __ __ ______ degreeofaterm
A _________ is an algebraic expression made by adding or subtracting terms. polynomial
The number that a variable is being multiplied with is called the __________. coefficient
An __________ is a mathematical statement that says two expressions are equal. equation
Numbers, variables, and the products of numbers and variables are all ______. terms
A term with no variables, that's value remains the same is a ________ _____ constantterm
A mathematical phrase with operators connecting numbers and variables is an _________. expression
A three-termed polynomial is a _________. trinomial
The degree of the term with the greatest degree is the _______ __ __ ________ degreeofapolynomial
Terms that have the same variable(s) raised to the same exponent(s) are ______ ______. liketerms
Terms with different variables, or the same variables raised to different exponents are ________ ______. unliketerms
A one-termed polynomial is a _________. monomial
A letter representing a number or value that can change or vary is a _________. variable
When the terms of a polynomial are ordered from highest to lowest degree is known as __________ ______. standardform
Numbers or variables that form a product are ________. factors

Type
Crossword
Description

The maximum or minimum point of a quadratic function. vertex
The line of symmetry that runs through the vertex; can be found algebraically: x=-b/(2a) axis of symmetry
All the input values of a function. domain
All the output values of a function. range
x = -b ± √(b² - 4ac)/2a quadratic formula
one of the possible outcomes of a probability experiment event
a possible result of an experiment outcome
a diagram that shows how two or more sets in a universal set are related Ven diagram
a collection or list of items SET
events such that the outcome of one event does not affect the probability of the outcome of another event independent events
'sides and angles' that are images of each other will be equal if the two triangles are congruent. CORRESPONDING PARTS
Any number that can be written as a simple fraction, with a whole number numerator and denominator, such as terminating decimals, repeating decimals and integers. rational number
A square with a whole number root. perfect square
An angle of exactly 90 degrees. right angle
A triangle that contains a right angle. right triangle
Any number that cannot be written as a simple fraction, such as non-repeating, non-terminating decimals, square roots of non-perfect squares, pi. irrational number
The result of multiplying a number by itself square
Greek philosopher, 570-495 BC. There is no evidence that Pythagoras himself worked on or proved the Pythagorean Theorem, which was used previously by Babylonians and Indians. Pythagoras
A mathematical symbol that indicates the extraction of the root of the square inside. radical sign
the statement that the values of two mathematical expressions are equal equation
a numerical or constant quantity placed before and multiplying the variable in an algebraic expression Coefficient
solving a problem solutions
value that,when multiplied by itself,gives the number roots
relationship between two numbers indicating how many times the first number contains the second ratio
two ratios or fractions are equal proportion
relationship between two numbers indicating how many times the first number contains the second ratio
a single number or variable, or numbers and variables multiplied together terms
an unbroken part of a circle arc
an angle whose vertex is at the center of a circle central angle

Special Factoring Crossword Puzzle

Type
Crossword
Description

First, outer, inner, last FOIL
When we square a binomial, the answer is a trinomial PERFECTSQUARETRINOMIAL
When we multiply using the sum and difference pattern DIFFERENCEOFSQUARES
a polynomial with 2 terms BINOMIAL
a polynomial with 3 terms TRINOMIAL
the greatest degree of its terms DEGREEOFPOLYNOMIAL
the coefficient of the 1st term of the polynomial once it has been ordered LEADINGCOEFFICIENT
one term that consists of a number, a variable, or a product of the two with whole number exponents MONOMIAL
The sum of the exponents of the variables in the monomial DEGREEOFMONOMIAL
a monomial or the sum of monomials POLYNOMIAL
A whole number greater than 1 that has exactly two factors PRIMENUMBER
A whole number greater than 1 that has more than 2 factors COMPOSITENUMBER
A whole number expressed as a product of factors that are all prime numbers PRIMEFACTORIZATION
A monomial expressed as a product of prime numbers and variables in which no variable has an exponent greater than 1 FACTOREDFORM
product of the prime factors common to two or more intergers GCF
To express a polynomial as the product of monomials and polynomials FACTORING
the use of the distributive property to factor FACTORINGBYGROUPS
The solutions of a quadratic equation ROOTS
Polynomial that can't be written as a product of two polynomials PRIMEPOLYNOMIAL
trinomials that are the square of a binomial PERFECTSQUARETRINOMIAL
y-value increases as the x-value increases INCREASINGINTERVAL
y-value decreases as the x-value increases DECREASINGINTERVAL
where the graph changes from increasing to decreasing TURNINGPOINTS
written in the most commonly accepted way STANDARDFORM
where a line intercepts the y axis of a graph YINTERCEPT
where a line intersects the x axis of a graph XINTERCEPT
A value we can put in place of a variable that makes the equation true SOLUTION
the result of multiplying a number by itself SQUARE

Type
Crossword
Description

Ax+By=C Standard Form
the line crosses the y axis here yintercept
the line crosses the x axis here xintercept
the numerical factor of a monomial coefficient
a monomial that does not contain variables constant
a number that multiplies times itself square root
rational numbers that look alike but have different signs conjugates
solutions of a quadratic equation roots
another name for the solutions of a quadratic equation zeros
y=a(x-h)²+k vertex form
a line that goes in an odd number of directions odd function
a line that goes in an even amount of directions even function
a rule that helps a person find the roots of a polynomial by looking at the signs descartes rule of signs
used to make a quadratic equation into a perfect trinomial completing the square
b²-4ac discriminant
a way to distribute two binomials foil
a way to divide a polynomial by a binomial synthetic division
the greatest y-coordinate of nearby points on a graph relative maximum
highest y-coordinate on a graph maximum
the lowest y-coordinate on a graph minimum
the axis of symmetry meets the parabola here vertex
a symmetrical curve beginning at a fixed point parabola
a ¨division symbol¨ with a tail radical
crosses the x axis one time one real solution
crosses the x axis twice two real solutions
never crosses the x axis no real solution
asking 4 questions to break down an equation to its smallest form factoring
an equation with 3 terms trinomial
data arranged in rows and columns tables
a line which splits down the middle of a shape and has equal parts on both sides axis of symmetry
the sum of the exponents of the variable in a monomial degree of the fuction
numbers in the form (a=bi) where a and b are real; i is imaginary complex numbers
an equation containing at least one squared term quadratic equation
x equals negative b plus or minus the square root of b² minus 4ac all over 2a quadratic formula

Type
Crossword
Description

Comparsion of two numbers Ratio
a function whose graph is a straight line linear function
7(2)what is the two called Power
a set of ordered pairs Relation
A ratio thta compares the change in the y-coordinates of a graph to the change in the x-coordinates slope
only one number can make a equation true one solution
700/4 divided by x/22 what is this called? Cross Multiply
____ lie in the same plane and never intersect parallel lines
the set of all the input/ output values in a function domain
to find a __ that is neither horizontal nor vertical on the coordinate gird , you can apply the Pythagorean Theorem Distance
any nonzero number rasied to the power of zero is 1 power of zero
to raise a power to a power, multipy the exponents power of a power
the __ symbol represent square roots radical
the measure of a right angle is ____ degrees ninety
an ___ number can be expressed as an infinite, non-repeating decimal irrational
any number that can be expressed as the ratiom of two integers excluding division by zero rational
another word for total sum
when a fatcor is multiplied by the sum/ difference of two numbers,you can multiply each two numbers by the factor and then add/ subtract the products distributive property
the longest side of a right triangle , opposite the right triangle hypotenuse

Type
Crossword
Description

You can never have a radical as a ______ denominator
To get rid of a radical denominator, you have to ___ to create a square root multiply
The product of a number multiplied by itself is a ____ perfect square
An alphabet character that represents a number Variable
Splitting something into equal parts/groups Division
You are unable to have a ____ number inside a radical Negative
The ___ of the radicals have to match root
When multiplying larger radicals you use ____ FOIL
To divide radicals, you ______ the denominator Rationalize
The square root of a number is always _____ positive
To help simplify a radical, you use a _____ tree Factor

Factoring Word Search

Type
Word Search
Description

Trinomial
Domain
Foil
Factoring By Groupings
GCF
Perfect Square Trinomial
Square
Square Root
Factoring Polynomials
Difference Of Two Squares
Cube

Type
Crossword
Description

f(x) ; in form of __________________ Quadratic Function
a point/curved line equidistant to focus/directrix Parabola
__________________, used for parabolas Quadratic Equation
the solutions to a quadratic equation Zeros
A perfect square, for example __________________ Square Root
a number that includes both a real and imaginary number. Complex Number
putting the constant on the other side of the equation to make a perfect/factorable trinomial. Completing the Square
a bad boy couldn't decide whether or not to go to a raaaadical house party, he didn't want to be square and miss out on 4 awesome chicks. The party ended at 2 am. (__________________) Quadratic Formula
y=__________________ ; gives you number of solutions discriminant
where the axis of symmetry passes through, minimum/maximum in parabola. (written as coordinate) Vertex
where the line intercepts the x-axis. X-intercept
the solutions to the quadratic formula Roots
the x-value of the vertex, line that hits the parabola (line makes parabola symmetrical) Axis of Symmetry
__________________=0 Standard Form
y=__________________ ; translations to find vertex Vertex Form
when a is negative, y-value of vertex, highest point on the parabola Maximum
when a is positive, y-value of vertex, lowest point on the parabola Minimum
an expression with three terms Trinomial
symbol: _______ ; used to find perfect squares (ex. 8x8=64, ______) Radical
when the discriminant is negative No real solutions
when the discriminant is positive Two real solutions
when the discriminant is 0 One real solution
Square root of negative number; _____ Imaginary Number
what is multiplied to the variable, x Coefficients
"c" term in Quadratic Equation Constant

Polynomials Crossword

Type
Crossword
Description

3x is one term, known as a _____ monomial
When you're multiplying numbers together, it's known as _____ factoring
When given 6x-2, x is referred to as the _____ variable
When looking at a polynomial, re-ordering the terms from highest to lowest degree is known as _____ form standard
This has no variables constant
3x+4=5x-2, this is known as an _____ equation
12x-3 has two terms, also known as a _____ binomial
4x-2y+3 has three terms, also known as a _____ trinomial
2y+4y are known as _____ terms like
7x-3y are known as _____ terms unlike
A number, variable or even the product of an equation are known as _____ terms
The _____ of 3xy is two degree
A phrase that has variables and numbers, then is connected by operators is known as an _____ expression
When looking at 2y, 2 is known as the _____ coefficient
A _____ is an algebraic expression that consists of adding or subtracting terms polynomial
3x+4=5x-2, x=_____ three
4x-6=2x+8, x=_____ seven
3x-7=4x-17, x=_____ ten
3x/4=2x-5, x=_____ four
2x-11=x+62, x=_____ seventy-three
4x/2=3x-11, x=_____ eleven
(2x(3))/2=3x, x=_____ fifteen
11x/2=10x-9, x=_____ two
(3x-8)/4=x-6, x=_____ sixteen
5x/10+x=(4x-90)+5, x=_____ thirty-four