Chapter 6

Use factoring to solve each quadratic equation. Check by substitution or by using a graphing utility and identifying \(x\) -intercepts. $$2 x^{2}=-3 x$$

Factor each difference of two squares. $$81 x^{4}-1$$

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. $$x^{3}+3 x^{2}-25 x-75$$

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. $$6 x^{3}+15 x^{2}$$

Use the method of your choice to factor each trinomial, or state that the trinomial is prime. Check each factorization using FOIL multiplication. $$6 y^{2}+7 y-24$$

Factor each trinomial, or state that the trinomial is prime. Check each factorization using FOIL multiplication. $$w^{2}-30 w-64$$

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

Factor completely, or state that the polynomial is prime. $$2 x^{2}-18$$

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. $$3 x^{3}-24 x^{2}+48 x$$

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. $$13 y^{2}-25 y$$

Use the method of your choice to factor each trinomial, or state that the trinomial is prime. Check each factorization using FOIL multiplication. $$6 x^{2}-7 x+3$$

Factor each trinomial, or state that the trinomial is prime. Check each factorization using FOIL multiplication. $$w^{2}+12 w-64$$

Use factoring to solve each quadratic equation. Check by substitution or by using a graphing utility and identifying \(x\) -intercepts. $$x^{2}+6 x+9=0$$

Factor completely, or state that the polynomial is prime. $$5 x^{2}-45$$

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. $$5 x^{3}-20 x^{2}+20 x$$

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. $$11 y^{2}-30 y$$

Use the method of your choice to factor each trinomial, or state that the trinomial is prime. Check each factorization using FOIL multiplication. $$9 x^{2}+3 x+2$$

Factor each trinomial, or state that the trinomial is prime. Check each factorization using FOIL multiplication. $$y^{2}-18 y+65$$

Use factoring to solve each quadratic equation. Check by substitution or by using a graphing utility and identifying \(x\) -intercepts. $$x^{2}=12 x-36$$

Factor completely, or state that the polynomial is prime. $$2 x^{3}-72 x$$

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. $$2 x^{5}+2 x^{2}$$

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. $$9 y^{4}+27 y^{6}$$

Use the method of your choice to factor each trinomial, or state that the trinomial is prime. Check each factorization using FOIL multiplication. $$25 z^{2}-30 z+9$$

Factor each trinomial, or state that the trinomial is prime. Check each factorization using FOIL multiplication. $$y^{2}-22 y+72$$

Use factoring to solve each quadratic equation. Check by substitution or by using a graphing utility and identifying \(x\) -intercepts. $$x^{2}=14 x-49$$

Factor completely, or state that the polynomial is prime. $$2 x^{3}-8 x$$

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. $$2 x^{5}+128 x^{2}$$

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. $$10 y^{4}+15 y^{6}$$

Use the method of your choice to factor each trinomial, or state that the trinomial is prime. Check each factorization using FOIL multiplication. $$9 z^{2}+12 z+4$$

Factor each trinomial, or state that the trinomial is prime. Check each factorization using FOIL multiplication. \(r^{2}+12 r+27\)

Use factoring to solve each quadratic equation. Check by substitution or by using a graphing utility and identifying \(x\) -intercepts. $$4 x^{2}=12 x-9$$

Factor completely, or state that the polynomial is prime. $$x^{2}+36$$

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. $$6 x^{2}+8 x$$

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. $$8 x^{2}-4 x^{4}$$

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

Factor each trinomial, or state that the trinomial is prime. Check each factorization using FOIL multiplication. \(r^{2}-15 r-16\)

Use factoring to solve each quadratic equation. Check by substitution or by using a graphing utility and identifying \(x\) -intercepts. $$9 x^{2}=30 x-25$$

Factor completely, or state that the polynomial is prime. $$x^{2}+4$$

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. $$21 x^{2}-35 x$$

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. $$12 x^{2}-4 x^{4}$$

Use the method of your choice to factor each trinomial, or state that the trinomial is prime. Check each factorization using FOIL multiplication. $$15 y^{2}+13 y-2$$

Factor each trinomial, or state that the trinomial is prime. Check each factorization using FOIL multiplication. \(y^{2}-7 y+5\)

Use factoring to solve each quadratic equation. Check by substitution or by using a graphing utility and identifying \(x\) -intercepts. $$2 x^{2}=7 x+4$$

Factor completely, or state that the polynomial is prime. $$3 x^{3}+27 x$$

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. $$-2 y^{2}+2 y+112$$

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. $$12 y^{2}+16 y-8$$

Use the method of your choice to factor each trinomial, or state that the trinomial is prime. Check each factorization using FOIL multiplication. $$5 x^{2}+2 x+9$$

Factor each trinomial, or state that the trinomial is prime. Check each factorization using FOIL multiplication. \(y^{2}-15 y+5\)

Use factoring to solve each quadratic equation. Check by substitution or by using a graphing utility and identifying \(x\) -intercepts. $$3 x^{2}=x+4$$

Factor completely, or state that the polynomial is prime. $$3 x^{3}+15 x$$