Factoring Expressions and GCF

The video tutorial explains how to factor expressions by first identifying and factoring out the greatest common factor. It demonstrates the process using two examples: 5C^2 + 40Z + 80 and 2W^3 + 44W^2 + 242W. The tutorial shows how to rewrite terms to reveal the common factor, factor out the common factor, and then factor the resulting trinomial into binomial factors. The final factored forms are presented as squared binomials.

What is the first step in factoring any expression?

• Identify the smallest term

• Factor out the greatest common factor

• Multiply all terms

• Add all coefficients

What is the greatest common factor of the expression 5C^2 + 40Z + 80?

• 8

• 5

• 40

• 10

After factoring out the greatest common factor from 5C^2 + 40Z + 80, what expression is left?

• C^2 + 8Z + 16

• Z^2 + 8Z + 16

• 5Z^2 + 8Z + 16

• Z^2 + 40Z + 80

What are the binomial factors of the trinomial Z^2 + 8Z + 16?

• (Z + 2)(Z + 8)

• (Z + 4)(Z + 4)

• (Z + 3)(Z + 5)

• (Z + 1)(Z + 16)

Tags

CCSS.HSA.APR.C.4

What is the final factored form of the expression 5C^2 + 40Z + 80?

• 5(Z + 4)^2

• 5(C + 4)^2

• 5(Z + 8)^2

• 5(C + 8)^2

What is the greatest common factor of the expression 2W^3 + 44W^2 + 242W?

• 242W

• 22W

• 44W

• 2W

After factoring out the greatest common factor from 2W^3 + 44W^2 + 242W, what expression is left?

• W^2 + 22W + 121

• W^3 + 44W^2 + 242

• W^2 + 44W + 121

• 2W^2 + 22W + 121

Tags

CCSS.HSA.APR.C.4

What are the binomial factors of the trinomial W^2 + 22W + 121?

• (W + 5)(W + 17)

• (W + 1)(W + 121)

• (W + 10)(W + 12)

• (W + 11)(W + 11)

What is the final factored form of the expression 2W^3 + 44W^2 + 242W?

• 2W(W + 11)^2

• 2W(W + 22)^2

• 2W(W + 10)^2

• 2W(W + 12)^2

Tags

CCSS.HSA.APR.C.4

Which of the following is a perfect square trinomial?

• Z^2 + 8Z + 16

• C^2 + 6C + 9

• W^2 + 22W + 121

• W^2 + 20W + 100

Tags

CCSS.HSA.APR.C.4