Factoring

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Mathematics

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9th Grade

•

Hard

Joseph Anderson

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7 Slides • 7 Questions

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Factoring Introduction

Objective: Factor the greatest common factor out of algebraic expressions.

Multiple Choice

Which expression below is equivalent to -6x² + 4x

-2x(3x - 2)

-2x(3x + 2)

2x(-3x - 2)

FACTOR

a number or quantity that when multiplied with another produces a number or expression.
Basically the "THINGS" being multiplied.

EXAMPLES

5y

3(x - 5)

(x - 4)(2x + y)

the FACTORS are

5 × 3

GREATEST COMMON FACTOR

The highest number that divides exactly into two or more numbers. GCF - shorthand

Use a Factor List

What is the GFC of 16 and 24?

Math Response

What is the GFC of 28, and 42?

Type answer here

Deg^°

Rad

GCF for VARIABLES

Expand to find the GCF

x³ and x⁵

Multiple Choice

What is the GCF of y⁷ and y³?

y³

y⁷

y⁴

GCF for VARIABLES

Expand to find the GCF

x³yz⁵ and x²y⁴z³

SHORTCUT

A) Which variables are in common?

B) Choose the lowest exponent.

1) x² and x³

2) qr⁴ and r⁵s

3) a⁴b³c⁵ and ab⁴c² and a²b²c⁴

GCF =

Math Response

Find the GCF: xz⁴ and x²y³z³

Type answer here

Deg^°

Rad

GCF for Polynomials

Find the GCF: 20wx³z⁵ + 15x⁴y⁴z⁴

Find the GCF: 4x³ + 12x² - 8x

Math Response

What is the GCF of 6x³y + 12x²y² + 3x⁴y⁵?

Type answer here

Deg^°

Rad

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