Chapter 6

Use the method of your choice to factor each trinomial, or state that the trinomial is prime. Check each factorization using FOIL multiplication. $$15 x^{2}-19 x+6$$

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. $$4 w^{2}+8 w-5$$

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

Use factoring to solve each quadratic equation. Check by substitution or by using a graphing utility and identifying \(x\) -intercepts. $$x(x-4)=21$$

Factor completely, or state that the polynomial is prime. $$-5 y^{3}+20 y$$

Factor each polynomial using the greatest common factor. If there is no common factor other than 1 and the polynomial cannot be factored, so state. $$6 x^{3} y^{2}+9 x y$$

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

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. $$35 w^{2}-2 w-1$$

Factor completely. $$3 x^{2}+21 x+36$$

Use factoring to solve each quadratic equation. Check by substitution or by using a graphing utility and identifying \(x\) -intercepts. $$x(x-3)=18$$

Factor completely, or state that the polynomial is prime. $$-54 y^{3}+6 y$$

Factor each polynomial using the greatest common factor. If there is no common factor other than 1 and the polynomial cannot be factored, so state. $$4 x^{2} y^{3}+6 x y$$

Use the method of your choice to factor each trinomial, or state that the trinomial is prime. Check each factorization using FOIL multiplication. $$3 x^{2}+4 x y+y^{2}$$

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. $$x^{3}-4 x$$

Factor completely. $$4 y^{2}-4 y-8$$

Use factoring to solve each quadratic equation. Check by substitution or by using a graphing utility and identifying \(x\) -intercepts. $$4 x(x+1)=15$$

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

Factor each polynomial using the greatest common factor. If there is no common factor other than 1 and the polynomial cannot be factored, so state. $$30 x^{2} y^{3}-10 x y^{2}+20 x y$$

Use the method of your choice to factor each trinomial, or state that the trinomial is prime. Check each factorization using FOIL multiplication. $$3 x^{2}+5 x y+2 y^{2}$$

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. $$9 x^{3}-9 x$$

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

Use factoring to solve each quadratic equation. Check by substitution or by using a graphing utility and identifying \(x\) -intercepts. $$x(3 x+8)=-5$$

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

Factor each polynomial using the greatest common factor. If there is no common factor other than 1 and the polynomial cannot be factored, so state. $$27 x^{2} y^{3}-18 x y^{2}+45 x^{2} y$$

Use the method of your choice to factor each trinomial, or state that the trinomial is prime. Check each factorization using FOIL multiplication. $$3 x^{2}+11 x y+6 y^{2}$$

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. $$x^{2}+64$$

Factor completely. $$10 x^{2}-40 x-600$$

Use factoring to solve each quadratic equation. Check by substitution or by using a graphing utility and identifying \(x\) -intercepts. $$(x-1)(x+4)=14$$

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

Use the method of your choice to factor each trinomial, or state that the trinomial is prime. Check each factorization using FOIL multiplication. $$2 x^{2}-9 x y+9 y^{2}$$

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. $$y^{2}+36$$

Factor completely. $$2 x^{2}+10 x-48$$

Use factoring to solve each quadratic equation. Check by substitution or by using a graphing utility and identifying \(x\) -intercepts. $$(x-3)(x+8)=-30$$

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

Use the method of your choice to factor each trinomial, or state that the trinomial is prime. Check each factorization using FOIL multiplication. $$3 x^{2}+5 x y-2 y^{2}$$

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. $$9 y^{2}+13 y+4$$

Factor completely. $$3 x^{2}-33 x+54$$

Use factoring to solve each quadratic equation. Check by substitution or by using a graphing utility and identifying \(x\) -intercepts. $$(x+1)(2 x+5)=-1$$

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

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

Use the method of your choice to factor each trinomial, or state that the trinomial is prime. Check each factorization using FOIL multiplication. $$6 x^{2}-5 x y-6 y^{2}$$

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. $$20 y^{2}+12 y+1$$

Factor completely. $$2 x^{2}-14 x+24$$

Use factoring to solve each quadratic equation. Check by substitution or by using a graphing utility and identifying \(x\) -intercepts. $$(x+3)(3 x+5)=7$$

Factor each polynomial using the negative of the greatest common factor. $$-15 x^{2}+20$$

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

Use the method of your choice to factor each trinomial, or state that the trinomial is prime. Check each factorization using FOIL multiplication. $$6 x^{2}-7 x y-5 y^{2}$$

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. $$y^{3}+2 y^{2}-4 y-8$$

Factor completely. $$2 r^{3}+6 r^{2}+4 r$$

Use factoring to solve each quadratic equation. Check by substitution or by using a graphing utility and identifying \(x\) -intercepts. $$y(y+8)=16(y-1)$$