Chapter 12

Multiply. $$(2 a-9 b)^{2}$$

Solve the equation. $$x^{2}=\frac{9}{25}$$

Factor the trinomial. $$x^{2}+18 x+81$$

Sketch the graph of the function. $$y=x^{2}+x+2$$

Factor the trinomial. $$x^{2}-12 x+36$$

Sketch the graph of the function. $$y=-3 x^{2}-x-4$$

Factor the trinomial. $$4 x^{2}+28 x+49$$

Sketch the graph of the function. $$y=2 x^{2}-3 x+4$$

For what values of the variable is the rational expression undefined? $$\frac{5}{x-4}$$

Solve the equation. $$(x+4)(x-8)=0$$

For what values of the variable is the rational expression undefined? $$\frac{x+2}{x^{2}-4}$$

Solve the equation. $$(x-3)(x-2)=0$$

For what values of the variable is the rational expression undefined? $$\frac{x+4}{x^{2}+x-6}$$

Solve the equation. $$(x+5)(x+6)=0$$

Solve the equation. $$(x+4)^{2}=0$$

Solve the equation. $$(x-3)^{2}=0$$

Solve the equation. $$6(x-14)^{2}=0$$

Factor the trinomial if possible. $$x^{2}+x-20$$

Factor the trinomial if possible. $$x^{2}-10 x+24$$

Factor the trinomial if possible. $$x^{2}+2 x+4$$

Factor the trinomial if possible. $$3 x^{2}-15 x+18$$

Factor the trinomial if possible. $$2 x^{2}-x-3$$