91Ó°ÊÓ

Use the method of your choice to factor each trinomial, or state that the trinomial is prime. Check each factorization using FOIL multiplication. $$15 x^{2}-19 x+6$$

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

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

Use factoring to solve each quadratic equation. Check by substitution or by using a graphing utility and identifying \(x\) -intercepts. $$x(x-4)=21$$

Factor completely. $$3 x^{2}+15 x+18$$

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. $$6 x^{3} y^{2}+9 x y$$

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. $$4 w^{2}+8 w-5$$

Factor completely, or state that the polynomial is prime. $$-54 y^{3}+6 y$$

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

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