Exponent Rules
Vocabulary
Factoring Trinomials
Multiplying Polynomials
Properties of Real Numbers
100
When an exponent of a number is zero, no matter what the value of the number is, it will always equal this.
What is 1?
100
A number representing how many times the base is multiplied.
What is an exponent?
100
Used to help factor trinomials, where the top equals xy and the bottom equals x+y.
What is a Diamond Problem?
100
When using this method, you do First...Outer...Inner...Last...and then you're done.
What is the FOIL Method?
100
This property states "when adding or multiplying two or more numbers or terms, order is not important".
What is the Commutative Property?
200
1/x^3 is the positive form of this term.
What is x^-3?
200
This word means "a group of one or more terms".
What is a polynomial?
200
x^2+11x+30 can be factored as this expression.
What is (x+5)(x+6)?
200
The FOIL Method is used to multiply this kind of polynomial.
What are binomials?
200
a+0=a is an example of this property.
What is the Identity Property of Addition?
300
When simplifying 7x^3(x^6), you end up with this.
What is 7x^18?
300
"The number before the variable" is the definition of this mathematical term.
What is the coefficient?
300
Factoring x^2+21x+98 will lead to this answer.
What is (x+14) (x+7)?
300
This method looks like a multiplication table and is a shorter way to multiply polynomials.
What is the Box Method?
300
The commutative and associative properties do not work on these two mathematical operations.
What are division and subtraction?
400
The expression 4 x [(6 x 6 x 6) x (m x m x m)] can be simplified into this expression.
What is 4 (6^3m^3)?
400
In the expression 4x^2+3x+6, the term 6 is also known as this.
What is the constant term?
400
9x^2+12x+4 factors into this.
What is (3x+2) (3x+2)?
400
Use this to expand binomial expressions that are raised to the positive integer powers.
What is binomial expansion?
400
This word is a common name used for the additive property.
What is "opposite"?
500
The expression xy^8/y^2 can be simplified with a method involving this number.
What is 1?
500
This mathematical term represents "the largest exponent out of all of a certain variable".
What is the degree?
500
x^2+128x+4032 factors into this binomial expression.
What is (x+56) (x+72)?
500
Use either one of these two methods when multiplying a polynomial by a monomial.
What are the Distributive Property and the Properties of Exponents?
500
A common name used for the multiplicative property is this word.
What is "reciprocal"?
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