Chapter 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. $$-6 x^{2}+6 x+12$$

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. $$15 y^{2}-3 y+9$$

Use the method of your choice to factor each trinomial, or state that the trinomial is prime. Check each factorization using FOIL multiplication. $$3 x^{2}-5 x+1$$

Factor each trinomial, or state that the trinomial is prime. Check each factorization using FOIL multiplication. \(x^{2}+7 x y+6 y^{2}\)

Use factoring to solve each quadratic equation. Check by substitution or by using a graphing utility and identifying \(x\) -intercepts. $$5 x^{2}=18-x$$

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

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. $$7 y^{4}+14 y^{3}+7 y^{2}$$

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. $$9 x^{4}+18 x^{3}+6 x^{2}$$

Use the method of your choice to factor each trinomial, or state that the trinomial is prime. Check each factorization using FOIL multiplication. $$10 y^{2}+43 y-9$$

Factor each trinomial, or state that the trinomial is prime. Check each factorization using FOIL multiplication. \(x^{2}+6 x y+8 y^{2}\)

Use factoring to solve each quadratic equation. Check by substitution or by using a graphing utility and identifying \(x\) -intercepts. $$3 x^{2}=15+4 x$$

Factor completely, or state that the polynomial is prime. $$32-2 y^{2}$$

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. $$2 y^{4}+28 y^{3}+98 y^{2}$$

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. $$32 x^{4}+2 x^{3}+8 x^{2}$$

Use the method of your choice to factor each trinomial, or state that the trinomial is prime. Check each factorization using FOIL multiplication. $$16 y^{2}-46 y+15$$

Factor each trinomial, or state that the trinomial is prime. Check each factorization using FOIL multiplication. \(x^{2}-8 x y+15 y^{2}\)

Use factoring to solve each quadratic equation. Check by substitution or by using a graphing utility and identifying \(x\) -intercepts. $$x^{2}-49=0$$

Factor completely, or state that the polynomial is prime. $$3 y^{3}-48 y$$

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

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. $$100 y^{5}-50 y^{3}+100 y^{2}$$

Use the method of your choice to factor each trinomial, or state that the trinomial is prime. Check each factorization using FOIL multiplication. $$8 x^{2}-2 x-1$$

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. $$y^{2}-18 y-81$$

Factor each trinomial, or state that the trinomial is prime. Check each factorization using FOIL multiplication. \(x^{2}-9 x y+14 y^{2}\)

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

Factor completely, or state that the polynomial is prime. $$3 y^{3}-75 y$$

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. $$26 y^{5}-13 y^{3}+39 y^{2}$$

Use the method of your choice to factor each trinomial, or state that the trinomial is prime. Check each factorization using FOIL multiplication. $$8 x^{2}-22 x+5$$

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. $$16 y^{2}-4 y-2$$

Factor each trinomial, or state that the trinomial is prime. Check each factorization using FOIL multiplication. \(x^{2}-3 x y-18 y^{2}\)

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

Factor completely, or state that the polynomial is prime. $$18 x^{3}-2 x$$

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. $$10 x-20 x^{2}+5 x^{3}$$

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

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. $$32 y^{2}+4 y-6$$

Factor each trinomial, or state that the trinomial is prime. Check each factorization using FOIL multiplication. \(x^{2}-x y-30 y^{2}\)

Use factoring to solve each quadratic equation. Check by substitution or by using a graphing utility and identifying \(x\) -intercepts. $$9 x^{2}-100=0$$

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

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. $$6 x-4 x^{2}+2 x^{3}$$

Use the method of your choice to factor each trinomial, or state that the trinomial is prime. Check each factorization using FOIL multiplication. $$9 y^{2}+5 y-4$$

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. $$r^{2}-25 r$$

Factor each trinomial, or state that the trinomial is prime. Check each factorization using FOIL multiplication. $$a^{2}-18 a b+45 b^{2}$$

Use factoring to solve each quadratic equation. Check by substitution or by using a graphing utility and identifying \(x\) -intercepts. $$81 x^{2}=25$$

Factor completely, or state that the polynomial is prime. $$-3 x^{2}+75$$

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. $$11 x^{2}-23$$

Use the method of your choice to factor each trinomial, or state that the trinomial is prime. Check each factorization using FOIL multiplication. $$20 x^{2}+27 x-8$$

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. $$3 r^{2}-27 r$$

Factor each trinomial, or state that the trinomial is prime. Check each factorization using FOIL multiplication. $$a^{2}-18 a b+80 b^{2}$$

Use factoring to solve each quadratic equation. Check by substitution or by using a graphing utility and identifying \(x\) -intercepts. $$25 x^{2}=49$$

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

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. $$12 x^{2}-25$$