Factor the following trinomials completely.
$z^2-11z+30$

Multiply the polynomials using FOIL.

$(4x+7)(-x+6)$

Multiply the polynomials using FOIL.

$(x^2-3x)(2x+8)$

Multiply the polynomials by using FOIL.

$(5xy+3)(4xy-2)$

Factor the following trinomials completely.

$y^2-7y+12$

Factor the following using trial and error.

$3y^2-14y+8$

Factor the following using trial and error.

$8a^2-22a+15$

Factor completely.

$15a^2+25a-40$

Use the zero product rule to solve the following equations for $x$.

$(x-5)(x+3)=0$