Factorization basics

Factorize: 3ax+6ay

• 3a(x+2y)

• 3(ax+2ay)

• (x+y)(3a+6a)

• a(3x+6y)

Factorize:  $-6m^2+12mn$  

• 6m(m+2n)
  

• -2m(3m-6n)

• -6m(m-2n)

• -6m(-m+2n)

factorize: p(a-b)+q(a-b)+r(a-b)

• (p+q+r)(a-b)

• (a+b)(p+q+r)

• (b-a)(p+q+r)

• not factorizable

Factorize: x(a-b)+y(b-a)

• (a-b)(x+y)

• (a+b)(x-y)

• (x+y)(a+b)

• (a-b)(x-y)

Factorize:  $a^2-\left(x+y\right)a+xy$  

• (a-x)(a-y)

• (x-a)(a-y)

• (a-x)(y-a)

• (a+x)(a+y)

factorize by grouping: $3y^5-6y^4-2y^3+4y^2+y-2$  

•  $\left(y+2\right)\left(3y^4-2y^2+1\right)$  

•  $\left(y-2\right)\left(3y^4+2y^2+1\right)$  

•  $\left(y-2\right)\left(3y^4-2y^2+1\right)$  

•  $\left(y-2\right)\left(3y^4-2y^2-1\right)$  

Factorize $x^2+6x+8$  

• x(x+6)+8

• (x+2)(x+4)

• (x-2)(x-4)

• (x-2)(x+4)

Factorize:  $x^2-5x-24$  

• (x-8)(x+3)

• (x+8)(x-3)

• (x+8)(x+3)

• (x-8)(x-3)

Factorize:  $2x^2-9x+10$  

• (2x+5)(x-2)

• (x+4)(x-2)

• (2x-5)(x-2)

• (x-4)(x-5)

Factorize: $-7x^2+3-4x$  

• (x-1)(7x-3)

• (x+1)(7x+3)

•  $\left(x+1\right)\left(7x-3\right)$  

•  $-\left(x+1\right)\left(7x-3\right)$