6. Algebra Review

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

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

Factor the following trinomials completely.

$y^2-7y+12$

Solve the following quadratic equations.

$2x^2-10x=0$

Factor the following using trial and error.

$3y^2-14y+8$

Find the solution(s) using the quadratic formula.

$\frac{3}{2}{z}^2-\frac{5}{4}z-1=0$

Factor the following trinomials completely.

$z^2-11z+30$

Multiply the polynomials using FOIL.

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

Find the solution(s) using the quadratic formula.

$\frac{3}{2}{(x+5)}^2-4=x+1$

Find the solution(s) using the quadratic formula.

$4{(x-2)}^2-5=x+7$

Find the solution(s) using the quadratic formula.

$4x^2-4x+1=0$

Factor completely.

$15a^2+25a-40$

Factor the following using trial and error.

$8a^2-22a+15$

Multiply the polynomials by using FOIL.

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

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

$2(x-4)(x+6)=0$

Multiply the polynomials using FOIL.

$(x-5)(x-12)$