Factoring Trinomials

Factor
3a² + 4a + 1

• (7a-10)(a-8)
• Not factorable
• (3a+1)(a+1)
• (3a-1)(a-1)

Tags

CCSS.HSA.SSE.A.2

CCSS.HSA.APR.A.1

CCSS.HSA.SSE.B.3

Factor completely.
2n² + 13n + 15

• (5n - 9)(n - 3)
• (3n + 7)(n + 4)
• (2n + 3)(n + 5)
• Not factorable

Tags

CCSS.HSA.SSE.A.2

CCSS.HSA.APR.A.1

Factor
x² + 9x - 36

• (x + 12)(x - 3)
• (x + 9)(x - 4)
• (x - 12)(x + 3)
• (x - 9)(x - 4)

Tags

CCSS.HSA.SSE.A.2

Factor
a² - a - 12

• (a - 4)(a + 3)
• (a + 6)(a - 4)
• (a - 6)(a + 4)
• (a + 4)(a - 3)

Tags

CCSS.HSA.SSE.A.2

CCSS.HSA.APR.A.1

CCSS.HSA.SSE.B.3

Factor completely.
5x² - 13x + 6

• (x - 3)(5x - 2)
• (5x - 3)(x - 2)
• 5(x - 3)(x + 2)
• Not factorable

Tags

CCSS.HSA.SSE.A.2

CCSS.HSA.APR.A.1

CCSS.HSA.SSE.B.3

Factor
3v² - 4v - 7

• (3v-7)(v+1)
• 3(v-7)(v-1)
• (3v+1)(v-9)
• (3v+1)(v-10)

Tags

CCSS.HSA.SSE.A.2

CCSS.HSA.APR.A.1

CCSS.HSA.SSE.B.3

Factor:

-12b² - 4b + 16

• $-4\left(b-3\right)\left(b+4\right)$

• (-6b - 2)(2b - 8)

• (-6b + 8)(2b + 2)

• Unfactorable.

Factor
2x² - 13x - 70

• (2x-7)(x+10)
• (7x+5)(x+2)
• (2x+7)(x-10)
• 2(x+7)(x+10)

Tags

CCSS.HSA.SSE.A.2

CCSS.HSA.SSE.B.3

CCSS.HSA.REI.B.4

Factor Completely:  6x² + 5x - 6

• 6(x + 1)(x - 6)
• (6x + 6)(x - 1)
• (2x - 3)(3x + 2)
• (3x - 2)(2x + 3)

Tags

CCSS.HSA.SSE.A.2

CCSS.HSA.APR.A.1

CCSS.HSA.SSE.B.3

Factor:  n² - 2n + 1

• (n + 1)(n - 1)
• (n + 1)²
• prime
• (n - 1)²

Tags

CCSS.HSA.APR.C.4