Check your answers after you've solved this equation.

$$6 r^2=3 r$$

Check the solutions after solving each equation.

$$3 z^2-11 z-20=0$$

Factor this polynomial in its entirety.

$$z^3-8$$

Factor this trinomial completely.

$$49 x^2-28 x y+4 y^2$$

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

$$8 m n^3+24 m^2 n^3$$

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

$$5 a^2-7 a b-6 b^2$$

Factor completely.

$$t^2-t z-6 z^2$$

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

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

Check your answers after you've solved this equation.

$$t^2=9 t$$

Factor completely.

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

Which of the following factors is not fully considered? A. $3(7 t)$ B. $3 x(7 t+4)$ C. $(3+x)(7 t+4)$ D. $3(7 t+4)+x(7 t+4)$

Determine the greatest common factor for each list of numbers.

$$15,30,45,75$$

Factor this trinomial completely.

$$36 y^2-60 y+25$$

Check the solutions after solving each equation.

$$x^2=-15+8 x$$