FACTORING
BOX METHOD
VOCAB
EXPONENTS
Algebra 1 Essentials
100

6X-4

2(3X-2)

100
MULTIPLY


(X+4)(X+8)

X2+12X+32

100

This term refers to the process of rewriting a polynomial as the product of two or more simpler polynomials.

factoring

100

When multiplying two expressions with the same base, you do this to the exponents.

add them

100

This term describes the ratio of vertical change to horizontal change between two points on a line.

slope

200

X2-121

(X-11)(X+11)

200
MULTIPLY


(X-5)(X-10)

X2-15X+50

200

he largest monomial that divides evenly into all terms of a polynomial.

greatest common factor (GCF)

200

In the expression (X3)4, you simplify by doing this to the exponents.

multiply them

200

The point where two linear equations intersect represents this.

  • solution to the system?

300

2X2-X-15

(2X+5)(X-3)
300

MULTIPLY

(X-6)(X+6)

X2-36

300

This type of polynomial, in the form of a2−b2, can always be factored into the product of two binomials.

difference of squares

300

When dividing two expressions with the same base, you do this to the exponents

subtract them

300

A relation is only a function if no two ordered pairs share this value.

What is the x-value (or input/domain)

400

X2-15X+56

(X-7)(X-8)

400

MULTIPLY

(X2+4)(X+3)

X3+3X2+4X+12

400

When no further factoring can be done, a polynomial is considered to be in this state.

factored completely

400

Any nonzero number raised to the power of zero is always equal to this

400

In a direct variation, the ratio of y to x is always this.

constant (or constant of proportionality)

500

X2+13X+42

(X+6)(X+7)

500

MULTIPLY

(2X2+5)(X+7)

2X3+14X2+5X+35

500

In the trinomial x2+5x+6, these two numbers multiply to 6 and add to 5, making it possible to factor.

2 AND 3

500

A negative exponent means you must do this to the base to make the exponent positive.

take the reciprocal (or move it to the denominator)

500

This property states that multiplying a sum by a number is the same as multiplying each addend separately and then adding the products.

Distributive Property

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