91Ó°ÊÓ

In Exercises \(1-26,\) factor each difference of two squares. $$81 x^{4}-1$$

Now let's move on to factorizations that may require two or more techniques. In Exercises \(17-80,\) factor completely, or state that the polynomial is prime. Check factorizations using multiplication or a graphing utility. $$x^{3}+3 x^{2}-25 x-75$$

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

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

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

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

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

Now let's move on to factorizations that may require two or more techniques. In Exercises \(17-80,\) factor completely, or state that the polynomial is prime. Check factorizations using multiplication or a graphing utility. $$3 x^{3}-24 x^{2}+48 x$$

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

In Exercises \(27-44,\) factor completely, or state that the polynomial is prime. $$2 x^{2}-18$$