Factor Trinomials with GCF

Factor: (GCF only)

24c⁵ - 12c³

• 6(4c⁵ - 2c³)

• 12c³(2c²)

• 12c³(2c² - 1)

• 12c³(2c² - 0)

Factor: (Regular Trinomial, no GCF)

x² - 15x + 36

• (x - 18)(x + 2)

• (x - 12)(x - 3)

• (x - 12)(x + 3)

• (x + 18)(x - 2)

Do GCF first then factor the polynomial:  $2a^2+10a+8$  

•  $\left(a+5\right)\left(a+2\right)$  

•  $2\left(a+4\right)\left(a+1\right)$  

•  $2\left(x+2\right)\left(x+2\right)$  

•  $\left(x+4\right)\left(x+2\right)$  

Tags

CCSS.HSA.APR.A.1

CCSS.HSA.SSE.A.2

CCSS.HSA.SSE.B.3

Do GCF first then factor the polynomial:  $4b^2-24b+20$  

•  $4\left(b-5\right)\left(b-1\right)$  

•  $4\left(b-4\right)\left(b+5\right)$  

•  $2\left(b-5\right)\left(b+4\right)$  

•  $4\left(b-6\right)\left(b+4\right)$  

Tags

CCSS.HSA.APR.A.1

CCSS.HSA.SSE.A.2

CCSS.HSA.SSE.B.3

Do GCF first then factor the polynomial:  $5c^2+30c-35$  

•  $5\left(c+7\right)\left(c-1\right)$  

•  $5\left(c-7\right)\left(c+1\right)$  

•  $5\left(c-5\right)\left(c+7\right)$  

•  $5\left(c-6\right)\left(b+5\right)$  

Tags

CCSS.HSA.APR.A.1

CCSS.HSA.SSE.A.2

CCSS.HSA.SSE.B.3

Do GCF first then factor the polynomial:  $2d^2-8d-24$  

•  $2\left(d-8\right)\left(d+3\right)$  

•  $2\left(d-6\right)\left(d+4\right)$  

•  $2\left(d-6\right)\left(d+2\right)$  

•  $2\left(d-4\right)\left(d+3\right)$  

Tags

CCSS.HSA.APR.A.1

CCSS.HSA.SSE.A.2

CCSS.HSA.SSE.B.3

Do GCF first then factor the polynomial:  $3e^2-15e+12$  

•  $3\left(e+4\right)\left(e+3\right)$  

•  $3\left(e+5\right)\left(e-3\right)$  

•  $3\left(e-4\right)\left(e-1\right)$  

•  $3\left(e-2\right)\left(e-2\right)$  

Tags

CCSS.HSA.APR.A.1

CCSS.HSA.SSE.A.2

Factor x² - 25 (review difference of squares a²-b²=(a+b)(a-b)

• ( x + 5 ) ( x - 5 )

• ( x - 5 ) ( x - 5 )

• ( x + 5 ) ( x + 5 )

• Prime