Factoring trinomials and special cases

Factor out the GCF:

18a²-15a

• 15a(3a-1)

• 3a(6a-1)

• 3(6a²-5a)

• 3a(6a-5)

Factor by grouping

2x³ - 8x² - x + 4

• (2x² - 1)(x - 4)

• 2(x² - 1)(x + 4)

• (2x - 4 )(x - 1)

• (2x² - 1)(x + 4)

Factor by grouping

5n³ - 10n² + 3n - 6

• (5n² + 3)(n - 2)

• 5n² + 3(n - 2)

• (5n³ - 2)(n + 3)

• 5n²(n - 2)

Factor the trinomial

x² + 9x - 36

• (x + 12)(x - 3)

• (x + 9)(x - 4)

• (x - 12)(x + 3)

• (x + 6)(x + 3)

Factor:

a² - a - 12

• (a - 4)(a + 3)

• (a + 6)(a - 2)

• (a - 6)(a + 4)

• (a + 4)(a - 3)

Factor:

b² + 8b + 7

• (b + 4)(b + 3)

• (b + 6)(b + 1)

• (b + 7)(b +1)

• (b + 8)(b - 1)

Factor: n² - 2n + 1

• (n + 1)(n - 1)

• (n + 1)²

• (n - 1)(n + 2)

• (n - 1)²

Factor Completely: 5v² - 30v + 40

Hint: look for a GCF first

• (5v - 8)(v + 5)

• (5v - 5)(v - 8)

• 5(v - 4)(v - 2)

• 5(v + 8)(v - 5)

Is the polynomial a difference of squares and if it is factor the polynomial.

d² - 36

• Is not a difference of squares

• Is a difference of squares;

  (d + 6)(d - 6)

• Is a difference of squares; (d - 6)²

• Is a difference of squares;

  (d + 18)(d - 18)

Tags

CCSS.HSA.APR.C.4

Fully Factor the Following

25x² - 81

• (5x - 9)²

• (5x + 9)(5x - 9)

• (5x - 9)(5x - 9)

• (9x + 5)(9x - 5)