91Ó°ÊÓ

Match each polynomial in Column I with the method or methods for factoring it in Column II. The choices in Column II may be used once, more than once, or not at all. \(\mathbf{I}\) (a) \(a b-5 a+3 b-15\) (b) \(z^{2}-3 z+6\) (c) \(25 x^{2}+100\) (d) \(r^{2}-24 r+144\) (e) \(2 y^{2}+36 y+162\) II A. Factor out the GCF. B. Factor a perfect square trinomial. C. Factor by grouping. D. Factor into two distinct binomials. E. The polynomial is prime.

Which is the completely factored form of the trinomial \(4 x^{2}-4 x-24 ?\) A. \(4(x-2)(x+3)\) B. \(4(x+2)(x+3)\) C. \(4(x+2)(x-3)\) D. \(4(x-2)(x-3)\)

Find the greatest common factor for each list of terms. $$ 9 m^{3}, 3 m^{2}, 15 m $$

Find the greatest common factor for each list of terms. $$ 10 m^{2} n^{2}, 25 m n^{3}, 50 m^{2} n $$

Factor each polynomial. $$ 36 m^{2}-25 $$

The following exercises are of mixed variety. Factor each polynomial. $$ k^{2}-6 k-16 $$

Factor each polynomial. $$ 16-(x+3 y)^{2} $$

Factor each polynomial. $$ 64-(r+2 t)^{2} $$

The following exercises are of mixed variety. Factor each polynomial. $$ 9 m^{2}-30 m n+25 n^{2} $$

Factor each polynomial. $$ 25 c^{2}-20 c+4-d^{2} $$