Chapter 6

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

Factor each difference of two squares. $$x^{2}-25$$

Solve each equation using the zero-product principle. $$x(x+7)=0$$

Before getting to multiple-step factorizations, let's be sure that you are comfortable with exercises requiring only one of the factoring techniques. Factor each polynomial. $$-7 x^{2}+35 x$$

Find the greatest common factor of each list of monomials. 4 and \(8 x\)

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

Factor each trinomial, or state that the trinomial is prime. Check each factorization using FOIL multiplication. $$x^{2}+9 x+8$$

Factor each difference of two squares. $$x^{2}-16$$

Solve each equation using the zero-product principle. $$x(x-3)=0$$

Before getting to multiple-step factorizations, let's be sure that you are comfortable with exercises requiring only one of the factoring techniques. Factor each polynomial. $$-6 x^{2}+24 x$$

Find the greatest common factor of each list of monomials. 5 and \(15 x\)

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

Factor each trinomial, or state that the trinomial is prime. Check each factorization using FOIL multiplication. $$x^{2}+7 x+10$$

Factor each difference of two squares. $$y^{2}-1$$

Solve each equation using the zero-product principle. $$(x-6)(x+4)=0$$

Before getting to multiple-step factorizations, let's be sure that you are comfortable with exercises requiring only one of the factoring techniques. Factor each polynomial. $$25 x^{2}-49$$

Find the greatest common factor of each list of monomials. \(12 x^{2}\) and \(8 x\)

Use the method of your choice to factor each trinomial, or state that the trinomial is prime. Check each factorization using FOIL multiplication. $$3 x^{2}+13 x+4$$

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

Factor each difference of two squares. $$y^{2}-9$$

Solve each equation using the zero-product principle. $$(x-3)(x+8)=0$$

Before getting to multiple-step factorizations, let's be sure that you are comfortable with exercises requiring only one of the factoring techniques. Factor each polynomial. $$100 x^{2}-81$$

Find the greatest common factor of each list of monomials. $$20 x^{2} \text { and } 15 x$$

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

Factor each trinomial, or state that the trinomial is prime. Check each factorization using FOIL multiplication. $$x^{2}+11 x+10$$

Factor each difference of two squares. $$4 x^{2}-9$$

Solve each equation using the zero-product principle. $$(x-9)(5 x+4)=0$$

Before getting to multiple-step factorizations, let's be sure that you are comfortable with exercises requiring only one of the factoring techniques. Factor each polynomial. $$27 x^{3}-1$$

Find the greatest common factor of each list of monomials. $$-2 x^{4} \text { and } 6 x^{3}$$

Use the method of your choice to factor each trinomial, or state that the trinomial is prime. Check each factorization using FOIL multiplication. $$2 x^{2}+11 x+12$$

Factor each trinomial, or state that the trinomial is prime. Check each factorization using FOIL multiplication. $$x^{2}+13 x+12$$

Factor each difference of two squares. $$9 x^{2}-25$$

Solve each equation using the zero-product principle. $$(x+7)(3 x-2)=0$$

Before getting to multiple-step factorizations, let's be sure that you are comfortable with exercises requiring only one of the factoring techniques. Factor each polynomial. $$64 x^{3}-1$$

Find the greatest common factor of each list of monomials. $$-3 x^{4} \text { and } 6 x^{3}$$

Use the method of your choice to factor each trinomial, or state that the trinomial is prime. Check each factorization using FOIL multiplication. $$2 x^{2}+19 x+35$$

Factor each trinomial, or state that the trinomial is prime. Check each factorization using FOIL multiplication. $$x^{2}-7 x+12$$

Solve each equation using the zero-product principle. $$10(x-4)(2 x+9)=0$$

Factor each difference of two squares. $$25-x^{2}$$

Before getting to multiple-step factorizations, let's be sure that you are comfortable with exercises requiring only one of the factoring techniques. Factor each polynomial. $$5 x+5 y+x^{2}+x y$$

Find the greatest common factor of each list of monomials. $$9 y^{5}, 18 y^{2}, \text { and }-3 y$$

Use the method of your choice to factor each trinomial, or state that the trinomial is prime. Check each factorization using FOIL multiplication. $$5 y^{2}-16 y+3$$

Factor each trinomial, or state that the trinomial is prime. Check each factorization using FOIL multiplication. $$x^{2}-13 x+40$$

Solve each equation using the zero-product principle. $$8(x-5)(3 x+11)=0$$

Factor each difference of two squares. $$16-x^{2}$$

Before getting to multiple-step factorizations, let's be sure that you are comfortable with exercises requiring only one of the factoring techniques. Factor each polynomial. $$7 x+7 y+x^{2}+x y$$

Find the greatest common factor of each list of monomials. $$10 y^{5}, 20 y^{2}, \text { and }-5 y$$

Use the method of your choice to factor each trinomial, or state that the trinomial is prime. Check each factorization using FOIL multiplication. $$5 y^{2}-17 y+6$$

Factor each trinomial, or state that the trinomial is prime. Check each factorization using FOIL multiplication. $$x^{2}-12 x+36$$

Use factoring to solve each quadratic equation. Check by substitution or by using a graphing utility and identifying \(x\) -intercepts. $$x^{2}+8 x+15=0$$