Lesson of Factoring

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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

​the FACTORS are

​the FACTORS are

​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

Correct Answer: 14

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

• y

​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 =

​GCF =

​GCF =

Math Response

Find the GCF: xz⁴ and x²y³z³

Type answer here

Correct Answer: xz^3

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

Correct Answer: 3x^2y

Deg^°

Rad

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