Algebra 2: Factoring Polynomials

Factor completely

p³ - 3p² - 16p + 48

• p² ( p - 3) (p - 3)

• (p² - 16) (p - 3)

• (p + 4) (p - 4) (p - 3)

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

5n³-10n²+3n-6

• (5n²+3)(n-2)

• (5n²-3)(n-2)

• (5n³+3)(n-2)

• 10n(n²-6)

Factor x³ + 2x² - 49x - 98 

• (x² - 49) (x + 2) 

• (x² - 49) (x + 2) (x + 2) 

• (x + 7) (x - 7) (x + 2) 

Factor

18a²-15a

• 15a(3a-1)

• 3a(6a-1)

• 3(6a-5)

• 3a(6a-5)

Factor
3v² - 4v - 7

• (3v-7)(v+1)

• 3(v-7)(v-1)

• (3v+1)(v-9)

• (3v+1)(v-10)

Factor x² + 6x + 5 = 0

• (x + 1)(x + 5) = 0

• (x + 1)(x + 2) = 0

• (x + 3)(x + 4) = 0

• (x + 2)(x + 3) = 0

Factor x³ + x² - 5x - 5 = 0

• (x - 1)(x + 1)(x - 5) = 0

• (x - 1)(x + 1)(x + 5) = 0

• (x² - 5)(x + 1) = 0

• (x - 1)(x² + 5) = 0

Factor 10n³ + 5n² - 2n - 1

• (2n - 1)(5n + 1)(n - 1)

• (5n² + 1)(2n - 1)

• (2n + 1)(5n - 1)(n - 1)

• (5n² - 1)(2n + 1)

3x⁴ - 9x² - 30

• (x² + 2)(3x² - 15)

• 3(x² - 5)(x² + 2)

• (x² - 6)(3x² + 5)

• 3(x⁴ -3x² - 10)