Algebra: Factoring Polynomials

Factor Completely:  15t² - 27t - 6

• 3(5t +1)(t - 2)

• (3t - 6)(5t + 1)

• 3(5t - 1)(t + 2)

• (15t + 6)(1t - 6)

Factor Completely:  16b² + 60b - 100

• (4b + 20)(4b - 5)

• (16b - 20)(b + 5)

• (4b + 10)(4b - 10)

• 4(b + 5)(4b - 5)

Fully Factor the Following
4x²-16

• (2x-4)(2x+4)

• (4x-4)(4x+4)

• 4(x-2)²

• 4(x-2)(x+2)

Factor
k²+7x+10

• (k+2)(k+5)

• (k-2)(k-5)

• (k+10)(k+4)

• (k+2)(k-5)

Factor
3v² - 4v - 7

• (3v-7)(v+1)

• 3(v-7)(v-1)

• (3v+1)(v-9)

• (3v+1)(v-10)

Factor:
2n³+16n+12

• 2n(n³+24n+6)

• 2(n³+8n+6)

• 2n(n³+8n+6)

• 3(n³+8n+6)

Factor
x² + 9x - 36

• (x + 12)(x - 3)

• (x + 9)(x - 4)

• (x - 12)(x + 3)

• (x - 9)(x - 4)

Factor completely: 3x² + 18x +15
Hint: Factor GCF first.

• 3(x² + 6x + 5)

• (x + 5)(x + 1)

• 3(x + 5)(x + 1)

• Prime

A trinomial has how many terms?

• one

• two

• three

• four

Factor
3a² + 4a + 1

• (7a-10)(a-8)

• Not factorable

• (3a+1)(a+1)

• (3a-1)(a-1)