Factoring Polynomials

Which of the following is a perfect square expression?

• 16x²

• 4x

• 9x³

• 8x⁴

Factor m² - 144

• (m - 12)(m - 12)

• (m - 12)(m + 12)

• (m - 12)

• (m + 12)²

Factor x² + 6x + 9

• (x - 3)(x + 3)

• (x - 3)(x - 3)

• (x + 3)(x + 3)

• (x + 6)(x + 9)

Which of the following expressions is a perfect cube?

• 8x

• 27x²

• 64x³

• 125x⁴

Factor a² - 2ab + b²

• (a - b)²

• (a + b)²

• (a + b)(a - b)

• (a - b)

Which of the following is the complete factored form of the cubic polynomial x³ - 8?

• (x - 2)(x² + 2x + 4)

• (x + 2)(x² - 2x + 4)

• (x - 2)(x² + 2x - 4)

• (x - 2)(x² - 2x + 4)

Your classmate was asked to square (2x – 3), he answered 4x² − 9. Is his answer correct?

• Yes, because product rule is correctly applied.

• Yes, because squaring a binomial always produces a binomial product.

• No, because the answer must be 4x² + 9.

• No, because squaring a binomial always produces a trinomial product.

What is the GCF of x² and x⁹?

• x

• x⁷

• x²

• x¹¹

What is the GCF of 20, 24, and 40?

• 1

• 4

• 8

• 20

If one factor of the difference of two squares is x + 2, what is the other factor?

• x - 2

• x² - 2

• x² - 2²

• (x - 2)²