WS Factoring a GCF

1) Factor the greatest common factor out of the expression:  $5x^3-35x$  

•  $5\left(x^3-7x\right)$  

•  $7x\left(x^2-5\right)$  

•  $5x\left(x^2-7\right)$  

•  $x\left(5x^2-35\right)$  

2) Find the greatest common factor  $2k^{2\ }+k$  

•  $k\left(2k+1\right)$  

•  $2k\left(k+1\right)$  

•  $k\left(2k+k\right)$  

•  $k\left(2k+\right)$  

3) Factor the GCF $40p^5+15p^2+35p$  

•  $5\left(8p^5+3p^2+7p\right)$  

•  $5p\left(8p^5+3p^2+7p\right)$  

•  $5p\left(8p^4+3p^{ }+7p\right)$  

•  $5p\left(8p^4+3p+7\right)$  

4) Factor the GCF  $3k^2+10k+2$  

• No GCF

•  $3\left(k^2+10k+2\right)$  

• 1

•  $k\left(3k+10+2\right)$  

5) Factor the GCF  $12x^4-54x^2-12x-42$  

•  $6x\left(2x^4-9x^2-2x-7\right)\$  

•  $3\left(4x^4-18x^2-4x-14\right)$  

•  $6x\left(2x^3-9x-9\right)$  

•  $6\left(2x^4-9x^2-2x-7\right)$  

6) Factor the GCF  $3n^4+9n^3+10n^2+6n$  

•  $3n\left(n^3+3n^2+3n+2\right)$  

•  $n\left(3n^3+9n^2+10n+6\right)$  

•  $2n\left(3.5n^3+4.5n^2+5n+3\right)$  

•  $n\left(3n^4+9n^3+10n^2+6n\right)$  

7) Factor the GCF  $60b^3+32a$  

•  $4\left(10b^3+8a\right)$  

•  $8b\left(5b^2+4\right)$  

•  $8ba\left(5b^2+4\right)$  

•  $8\left(5b^3+4a\right)$  

8) Factor the GCF  $-18x^2y-15x^2$ 

•  $-3\left(6x^2y-5x^2\right)$  

•  $-x^2\left(18y-15\right)$  

•  $-3x^2\left(6y+5\right)$  

•  $-3x^2\left(-6y-5\right)$  

9) Factor the GCF $9yx^9-20y^2x-10y$ 

•  $y\left(9x^9-20yx-10\right)$  

•  $xy\left(9x^8-20y-10\right)$  

•  $y\left(9yx^9-20yx-10\right)$  

•  $y\left(9x^9-20yx-10y\right)$  

10) Factor the GCF $-54y^2-18x+48$  

•  $-6xy\left(9y^2+3x-8\right)$  

•  $-6\left(9y^2+3x+8\right)$  

•  $-6\left(9y^2+3x-8\right)$  

•  $-6\left(-9y^2+3x-8\right)$