Chapter 6

Factor completely. $$4 x^{2}+26 x+30$$

Now let's move on to factorizations that may require two or more techniques. Factor completely, or state that the polynomial is prime. Check factorizations using multiplication or a graphing utility. $$48 a^{4}-3 a^{2}$$

Factor completely. $$x^{4}-22 x^{3}+120 x^{2}$$

Solve each equation and check your solutions. $$x^{3}-4 x=0$$

Factor each polynomial using the greatest common binomial factor. $$x(x+3)-8(x+3)$$

Factor any perfect square trinomials, or state that the polynomial is prime. $$x^{2}+16 x y+64 y^{2}$$

Factor completely. $$4 x^{2}-18 x-10$$

Now let's move on to factorizations that may require two or more techniques. Factor completely, or state that the polynomial is prime. Check factorizations using multiplication or a graphing utility. $$9 x^{4}+18 x^{3}+6 x^{2}$$

Factor completely. $$2 w^{4}-26 w^{3}-96 w^{2}$$

Solve each equation and check your solutions. $$y^{3}+3 y^{2}+2 y=0$$

Factor each polynomial using the greatest common binomial factor. $$x(y+6)-7(y+6)$$

Factor any perfect square trinomials, or state that the polynomial is prime. $$x^{2}-12 x y+36 y^{2}$$

Factor completely. $$9 x^{2}-6 x-24$$

Now let's move on to factorizations that may require two or more techniques. Factor completely, or state that the polynomial is prime. Check factorizations using multiplication or a graphing utility. $$10 x^{4}+20 x^{3}+15 x^{2}$$

Factor completely. $$3 w^{4}+54 w^{3}+135 w^{2}$$

Solve each equation and check your solutions. $$y^{3}+2 y^{2}-3 y=0$$

Factor each polynomial using the greatest common binomial factor. $$x(y+9)-11(y+9)$$

Factor any perfect square trinomials, or state that the polynomial is prime. $$x^{2}-18 x y+81 y^{2}$$

Factor completely. $$12 x^{2}-33 x+21$$

Now let's move on to factorizations that may require two or more techniques. Factor completely, or state that the polynomial is prime. Check factorizations using multiplication or a graphing utility. $$12 y^{2}-11 y+2$$

Factor completely. $$15 x y^{2}+45 x y-60 x$$

Solve each equation and check your solutions. $$2(x-4)^{2}+x^{2}=x(x+50)-46 x$$

Factor each polynomial using the greatest common binomial factor. $$3 x(x+y)-(x+y)$$

Factor any perfect square trinomials, or state that the polynomial is prime. $$x^{2}-8 x y+64 y^{2}$$

Factor completely. $$4 y^{2}+2 y-30$$

Now let's move on to factorizations that may require two or more techniques. Factor completely, or state that the polynomial is prime. Check factorizations using multiplication or a graphing utility. $$21 x^{2}-25 x-4$$

Factor completely. $$20 x^{2} y-100 x y+120 y$$

Solve each equation and check your solutions. $$(x-4)(x-5)+(2 x+3)(x-1)=x(2 x-25)-13$$

Factor each polynomial using the greatest common binomial factor. $$7 x(x+y)-(x+y)$$

Factor any perfect square trinomials, or state that the polynomial is prime. $$x^{2}+9 x y+16 y^{2}$$

Factor completely. $$36 y^{2}+6 y-12$$

Now let's move on to factorizations that may require two or more techniques. Factor completely, or state that the polynomial is prime. Check factorizations using multiplication or a graphing utility. $$9 y^{2}-64$$

Factor completely. $$x^{5}+3 x^{4} y-4 x^{3} y^{2}$$

Solve each equation and check your solutions. $$(x-2)^{2}-5(x-2)+6=0$$

Factor any perfect square trinomials, or state that the polynomial is prime. $$16 x^{2}-40 x y+25 y^{2}$$

Factor completely. $$9 y^{2}+33 y-60$$

Now let's move on to factorizations that may require two or more techniques. Factor completely, or state that the polynomial is prime. Check factorizations using multiplication or a graphing utility. $$100 y^{2}-49$$

Factor completely. $$x^{3} y-2 x^{2} y^{2}-3 x y^{3}$$

Solve each equation and check your solutions. $$(x-3)^{2}+2(x-3)-8=0$$

Factor any perfect square trinomials, or state that the polynomial is prime. $$9 x^{2}+48 x y+64 y^{2}$$

Factor completely. $$16 y^{2}-16 y-12$$

Now let's move on to factorizations that may require two or more techniques. Factor completely, or state that the polynomial is prime. Check factorizations using multiplication or a graphing utility. $$9 y^{2}+64$$

Use the negative of the greatest common factor to factor completely. $$-16 t^{2}+64 t+80$$

A ball is thrown straight up from a rooftop 300 feet high. The formula $$h=-16 t^{2}+20 t+300$$ describes the ball's height above the ground, \(h,\) in feet, \(t\) seconds after it was thrown. The ball misses the rooftop on its way down and eventually strikes the ground. The graph of the formula is shown, with tick marks omitted along the horizontal axis. Use the formula to solve Exercises \(67-69\) (GRAPH NOT COPY) How long will it take for the ball to hit the ground? Use this information to provide tick marks with appropriate numbers along the horizontal axis in the figure shown.

Factor completely. $$12 x^{2}-12 x+3$$

Factor completely. $$3 x^{3}+4 x^{2}+x$$

Now let's move on to factorizations that may require two or more techniques. Factor completely, or state that the polynomial is prime. Check factorizations using multiplication or a graphing utility. $$100 y^{2}+49$$

Use the negative of the greatest common factor to factor completely. $$-16 t^{2}+80 t+96$$

Factor completely. $$18 x^{2}+24 x+8$$

Factor completely. $$3 x^{3}+14 x^{2}+8 x$$