Polynomial Expressions

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)

Factor:
x² - 10x + 24

• (x - 6)(x - 4)

• (x + 6)(x + 4)

• (x - 12)(x + 2)

• (x - 8)(x - 3)

n² + 10n + 25

• (n + 5)(n - 5)

• (n + 25)(n + 1)

• (n - 5)²

• (n + 5)²

x² + 18x + 81

• (x + 9)(x – 9)

• (x + 9)²

• (x + 18)²

• (x + 6)²

Factor Completely:

2c² + 2c - 84

Hint: Factor GCF first.

• (c-6)(2c+14)

• (c+7)(2x-12)

• (c-4)(2c+21)

• 2(c+7)(c-6)

Factor using GCF or monomial factoring: 2x + 18

• 2(x+9)

• 2(2x+9)

• 2(x+8)

• cannot be factored

• Yes, because the numerator and the denominator are in simplest form of a polynomialexpression.

• Yes, because the numerator and the denominator have no common factor.

• No, because the numerator and the denominator have different degrees.

• No, because the denominator is not factored completely.

What is the first question you ask yourself when factoring a polynomial? 

• How many terms does it have? 

• Is there a GCF? 

• What strategy should I use? 

• Why do I have to learn this?!?!?!

Factor:
56a³-8a

• 8a²(56a³-8a)

• 8a(7a²-1)

• 8a(7a³-a)

• 8a²(35a²-a)

Factor:
x² + 5x - 24

• (x - 8)(x + 3)

• (x + 8)(x - 3)

• (x + 6)(x - 4)

• (x + 12)(x - 2)