7.4 Factoring GCF From polynomials

Factor the GCF
10x² + 15x-5

• 25(10x³+45x-15)
• 5(2x³ + 3x²-x)
• x(10x³+15x-5)
• 5(2x²+3x-1)

Factor the GCF
39y⁵ + 12y⁴ - 3y³

• 3y(13y⁴ + 4y³ - y²)
• 3y³(13y² + 4y - 1)
• y³(39y² + 12y - 3)
• not factorable

Factor
4b⁵+4b³+16b²

• 4b³(b⁴+b²+4b)
• 4b³(b⁴+4b+5)
• 4(b⁵+b³+4b²)
• 4b²(b³+b+4)

Answer explanation

Factor the GCF out of the expression.

 $6e^3f-11ef$  

•  $ef\left(6e^2-11\right)$  

•  $6ef\left(e^2-2\right)$  

•  $ef\left(6e^2f-11ef\right)$  

Factor the GCF out of the expression.

 $45n^2-40n^5$  

•  $5n^2\left(9-8n^3\right)$  

•  $n^2\left(45-40n^3\right)$  

•  $5\left(9n^2-8n^5\right)$  

Factor the GCF out of the expression.

 $-16wv^4+12w^3v^2$  

•  $-4wv^2\left(4v^2-3w^2\right)$  

•  $-4wv\left(4v^3-3w^2v\right)$  

•  $wv^2\left(-16v^2-3w^2\right)$  

Factor the GCF out of the expression.

 $-35m^3n+105m^2n^3+55m^8n^2$  

•  $-5m^2n\left(7m-21n^2-11m^6n\right)$  

•  $-5m^2\left(7mn-21n^3-11m^6n^2\right)$  

•  $m^2n\left(-35m+105n^2+55m^6n\right)$  

Factor the GCF:

4m² - m

• m² (4m - 1)

• m (4m - m)

• m (4m - 1)

• 4m (m - 1)

Factor
-10xy⁹z + 8y³z⁵

• 2y⁴z(-20xy⁶ + 4z⁴)
• 2y³z(-5xy⁶ +4z⁴)
• 2y³z(-5xy⁶z + 4z⁵)
• 2y³z(-5xy⁶z + 8z⁴)