Chapter 6

Factor each polynomial using the negative of the greatest common factor. $$-8 x^{4}+32 x^{3}+16 x^{2}$$

Factor any perfect square trinomials, or state that the polynomial is prime. $$x^{2}+22 x+121$$

Use the method of your choice to factor each trinomial, or state that the trinomial is prime. Check each factorization using FOIL multiplication. $$15 x^{2}+11 x y-14 y^{2}$$

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. $$y^{3}+2 y^{2}-y-2$$

Factor completely. $$2 r^{3}+8 r^{2}+6 r$$

Use factoring to solve each quadratic equation. Check by substitution or by using a graphing utility and identifying \(x\) -intercepts. $$y(y+9)=4(2 y+5)$$

Factor each polynomial using the negative of the greatest common factor. $$-18 x^{4}+9 x^{3}+6 x^{2}$$

Factor any perfect square trinomials, or state that the polynomial is prime. $$x^{2}+24 x+144$$

Use the method of your choice to factor each trinomial, or state that the trinomial is prime. Check each factorization using FOIL multiplication. $$15 x^{2}-31 x y+10 y^{2}$$

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. $$16 y^{2}+24 y+9$$

Factor completely. $$4 x^{3}+12 x^{2}-72 x$$

Use factoring to solve each quadratic equation. Check by substitution or by using a graphing utility and identifying \(x\) -intercepts. $$4 y^{2}+20 y+25=0$$

Factor each polynomial using the negative of the greatest common factor. $$-4 a^{3} b^{2}+6 a b$$

Factor any perfect square trinomials, or state that the polynomial is prime. $$4 x^{2}+4 x+1$$

Use the method of your choice to factor each trinomial, or state that the trinomial is prime. Check each factorization using FOIL multiplication. $$2 a^{2}+7 a b+5 b^{2}$$

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. $$25 y^{2}+20 y+4$$

Factor completely. $$3 x^{3}-15 x^{2}+18 x$$

Use factoring to solve each quadratic equation. Check by substitution or by using a graphing utility and identifying \(x\) -intercepts. $$4 y^{2}+44 y+121=0$$

Factor each polynomial using the negative of the greatest common factor. $$-9 a^{2} b^{3}+12 a b$$

Factor any perfect square trinomials, or state that the polynomial is prime. $$9 x^{2}+6 x+1$$

Use the method of your choice to factor each trinomial, or state that the trinomial is prime. Check each factorization using FOIL multiplication. $$2 a^{2}+5 a b+2 b^{2}$$

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. $$-4 y^{3}+28 y^{2}-40 y$$

Factor completely. $$2 r^{3}+8 r^{2}-64 r$$

Use factoring to solve each quadratic equation. Check by substitution or by using a graphing utility and identifying \(x\) -intercepts. $$64 w^{2}=48 w-9$$

Factor each polynomial using the negative of the greatest common factor. $$-12 x^{3} y^{2}-18 x^{3} y+24 x^{2} y$$

Factor any perfect square trinomials, or state that the polynomial is prime. $$25 y^{2}-10 y+1$$

Use the method of your choice to factor each trinomial, or state that the trinomial is prime. Check each factorization using FOIL multiplication. $$15 a^{2}-a b-6 b^{2}$$

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. $$-7 y^{3}+21 y^{2}-14 y$$

Factor completely. $$3 r^{3}-9 r^{2}-54 r$$

Use factoring to solve each quadratic equation. Check by substitution or by using a graphing utility and identifying \(x\) -intercepts. $$25 w^{2}=80 w-64$$

Factor each polynomial using the negative of the greatest common factor. $$-24 x^{3} y^{2}-32 x^{3} y+16 x^{2} y$$

Factor any perfect square trinomials, or state that the polynomial is prime. $$64 y^{2}-16 y+1$$

Use the method of your choice to factor each trinomial, or state that the trinomial is prime. Check each factorization using FOIL multiplication. $$3 a^{2}-a b-14 b^{2}$$

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. $$y^{5}-81 y$$

Factor completely. $$y^{4}+2 y^{3}-80 y^{2}$$

Solve each equation and check your solutions. $$(x-4)\left(x^{2}+5 x+6\right)=0$$

Factor each polynomial using the greatest common binomial factor. $$x(x+5)+3(x+5)$$

Factor any perfect square trinomials, or state that the polynomial is prime. $$x^{2}-10 x+100$$

Use the method of your choice to factor each trinomial, or state that the trinomial is prime. Check each factorization using FOIL multiplication. $$12 x^{2}-25 x y+12 y^{2}$$

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. $$y^{5}-16 y$$

Factor completely. $$y^{4}-12 y^{3}+35 y^{2}$$

Solve each equation and check your solutions. $$(x-5)\left(x^{2}-3 x+2\right)=0$

Factor each polynomial using the greatest common binomial factor. $$x(x+7)+10(x+7)$$

Factor any perfect square trinomials, or state that the polynomial is prime. $$x^{2}-7 x+49$$

Use the method of your choice to factor each trinomial, or state that the trinomial is prime. Check each factorization using FOIL multiplication. $$12 x^{2}+7 x y-12 y^{2}$$

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. $$20 a^{4}-45 a^{2}$$

Factor completely. $$x^{4}-3 x^{3}-10 x^{2}$$

Solve each equation and check your solutions. $$x^{3}-36 x=0$$

Factor each polynomial using the greatest common binomial factor. $$x(x+2)-4(x+2)$$

Factor any perfect square trinomials, or state that the polynomial is prime. $$x^{2}+14 x y+49 y^{2}$$