Factoring Polynomials: GCF, Trinomials, and Difference of Squares

What is the greatest common factor (GCF) of the terms in the expression 3x^2 + 27?

• 27

• x

• 3

• 9

When factoring the expression -5x^3 + 15x^2, what is the GCF?

• 15x^2

• 5x^2

• -5x^2

• -5x

Which pair of numbers can be used to factor the trinomial x^2 - 9x + 20?

• 1 and 20

• 2 and 10

• 4 and 5

• 3 and 7

What is the factored form of the trinomial x^2 + 2x - 63?

• (x - 9)(x + 7)

• (x - 7)(x + 9)

• (x + 7)(x - 9)

• (x + 9)(x - 7)

Which of the following is a correct factorization of x^2 - 81y^2?

• (x + 9)(x - 9)

• (x + 9y)(x - 9y)

• (x - 9y)(x + 9y)

• (x - 9)(x + 9)

What is the factored form of 4x^2 - 36y^2?

• (4x + 3y)(4x - 3y)

• (4x + 6y)(4x - 6y)

• (2x + 3y)(2x - 3y)

• (2x + 6y)(2x - 6y)

What is the GCF of the expression 5x^2 - 45?

• 5x

• 45

• x

• 5

After factoring out the GCF, what is the next step to factor x^2 - 9?

• Factor as a difference of squares

• Complete the square

• Use the quadratic formula

• Combine like terms

What is the factored form of 3x^2 + 10x - 8?

• (3x - 4)(x + 2)

• (3x + 4)(x - 2)

• (3x - 2)(x + 4)

• (3x + 2)(x - 4)

What is the factored form of 4x^2 + 12x + 5?

• (4x + 5)(x + 1)

• (2x + 1)(2x + 5)

• (2x + 5)(2x + 1)

• (4x + 1)(x + 5)