Factoring Trinomials and Binomials Practice

What is the greatest common factor used to factorize the expression 3x^2 + 12x + 12?

• 3

• 9

• 12

• 6

After factoring out the greatest common factor, what type of polynomial is left in the expression 3x^2 + 12x + 12?

• None

• Quadratic

• Trinomial

• Binomial

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

• 4(x - 6)(x + 6)

• 4(x - 9)(x + 9)

• 4(x^2 - 9)

• 4(x - 3)(x + 3)

Which method is used to factor x^2 - 9?

• Quadratic formula

• Factoring by grouping

• Completing the square

• Difference of squares

What signs do the factors of the trinomial x^2 + 12x + 27 take?

• Cannot be determined

• One positive, one negative

• Both negative

• Both positive

What are the factors of the number 27 that add up to 12?

• 5 and 7

• 3 and 9

• 6 and 6

• 4 and 8

In the expression x^2 - 5x - 14, what is the sign of the larger numerical factor when factored?

• Cannot be determined

• Zero

• Negative

• Positive

What is the factored form of x^2 - 5x - 14?

• (x - 7)(x + 2)

• (x + 2)(x - 7)

• (x - 2)(x + 7)

• (x + 7)(x - 2)

What is the correct factored form of x^2 - 15x + 36?

• (x + 6)(x + 6)

• (x - 6)(x - 6)

• (x + 3)(x + 12)

• (x - 3)(x - 12)

Which factors of 36 add up to -15?

• 6 and 9

• -6 and -9

• -3 and -12

• 3 and 12