Completely factor this trinomial. Prior to factoring, first write the trinomial in decreasing powers.

$$14 a^2 b^3+15 a b^3-9 b^3$$

Factor completely.

$$p^2+9 p q+8 q^2$$

Factor this trinomial completely.

$$16 x^2-40 x+25$$

By removing the biggest common factor, write in factored form.

$$11 w^3-100$$

Factor this polynomial in its entirety.

$$8 m-16 m^2$$

Check your answers after you've solved this equation.

$$x^2=7 x$$

Check the solutions after solving each equation.

$$m^2-5 m+4=0$$

Completely factor this trinomial. Prior to factoring, first write the trinomial in decreasing powers.

$$15 x^2 y^2-7 x y^2-4 y^2$$

Factor completely.

$$x^2+4 x y+3 y^2$$

Work this problem. The following powers of $x$ are all perfect cubes:

$$x^3, x^6, x^4, x^{12}, x^{15} \text {. }$$

As a result of this finding. We can hypothesis that if a variable's power can be divided by (with 0 remaining), then we have a perfect cube

Check the solutions after solving each equation.

$$z^2+4 z+3=0$$

Factor completely.

$$x^2+5 x a+4 a^2$$

By removing the biggest common factor, write in factored form.

$$100 a^5+16 a^3$$

Check your answers after you've solved this equation.

$$x^2=400$$