91Ó°ÊÓ

In Exercises \(27-44,\) 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. $$4 x^{2} y^{3}+6 x y$$

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

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

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

In Exercises \(45-66,\) factor any perfect square trinomials, or state that the polynomial is prime. $$x^{2}+2 x+1$$

$$\text { In Exercises } 43-66, \text { factor completely.}$$ $$4 y^{2}-4 y-8$$

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. $$27 x^{2} y^{3}-18 x y^{2}+45 x^{2} y$$

$$\text { In Exercises } 43-66, \text { factor completely.}$$ $$3 y^{2}+3 y-18$$