Section 1
Greatest Common Factor and Factor by Grouping
Find the greatest common factor.8,18
Find the greatest common factor.24,40
Find the greatest common factor.72,162
Find the greatest common factor. 150,275
Find the greatest common factor.$10 a, 50$
Find the greatest common factor. $5 b, 30$
Find the greatest common factor.$3 x, 10 x^{2}$
Find the greatest common factor. $21 b^{2}, 14 b$
Find the greatest common factor.$8 w^{2}, 24 w^{3}$
Find the greatest common factor.$30 x^{2}, 18 x^{3}$
Find the greatest common factor.. $10 p^{3} q, 12 p q^{2}$
Find the greatest common factor.$8 a^{2} b^{3}, 10 a b^{2}$
Find the greatest common factor.$12 m^{2} n^{3}, 30 m^{5} n^{3}$
Find the greatest common factor. $28 x^{2} y^{4}, 42 x^{4} y^{4}$
Find the greatest common factor. $10 a^{3}, 12 a^{2}, 14 a$
Find the greatest common factor.$20 y^{3}, 28 y^{2}, 40 y$
Find the greatest common factor. $35 x^{3}, 10 x^{4}, 5 x^{5}$
Find the greatest common factor. $27 p^{2}, 45 p^{3}, 9 p^{4}$
Factor the greatest common factor from each polynomial. $4 x+20$
Factor the greatest common factor from each polynomial.$8 y+16$
Factor the greatest common factor from each polynomial.$6 m+9$
Factor the greatest common factor from each polynomial.$14 p+35$
Factor the greatest common factor from each polynomial.$9 q+9$
Factor the greatest common factor from each polynomial.$7 r+7$
Factor the greatest common factor from each polynomial.$8 m-8$
Factor the greatest common factor from each polynomial. $4 n-4$
Factor the greatest common factor from each polynomial. $9 n-63$
Factor the greatest common factor from each polynomial.$45 b-18$
Factor the greatest common factor from each polynomial. $3 x^{2}+6 x-9$
Factor the greatest common factor from each polynomial. $4 y^{2}+8 y-4$
Factor the greatest common factor from each polynomial.$8 p^{2}+4 p+2$
Factor the greatest common factor from each polynomial.$10 q^{2}+14 q+20$
Factor the greatest common factor from each polynomial. $8 y^{3}+16 y^{2}$
Factor the greatest common factor from each polynomial. $12 x^{3}-10 x$
Factor the greatest common factor from each polynomial.$5 x^{3}-15 x^{2}+20 x$
Factor the greatest common factor from each polynomial.$8 m^{2}-40 m+16$
Factor the greatest common factor from each polynomial.$12 x y^{2}+18 x^{2} y^{2}-30 y^{3}$
Factor the greatest common factor from each polynomial.$21 p q^{2}+35 p^{2} q^{2}-28 q^{3}$
Factor the greatest common factor from each polynomial.$-2 x-4$
Factor the greatest common factor from each polynomial.$-3 b+12$
Factor the greatest common factor from each polynomial. $5 x(x+1)+3(x+1)$
Factor the greatest common factor from each polynomial. $2 x(x-1)+9(x-1)$
Factor the greatest common factor from each polynomial.$3 b(b-2)-13(b-2)$
Factor the greatest common factor from each polynomial.$6 m(m-5)-7(m-5)$
Factor by grouping. $x y+2 y+3 x+6$
Factor by grouping.$m n+4 n+6 m+24$
Factor by grouping.$u v-9 u+2 v-18$
Factor by grouping.$p q-10 p+8 q-80$
Factor by grouping.$b^{2}+5 b-4 b-20$
Factor by grouping.$m^{2}+6 m-12 m-72$
Factor by grouping. $p^{2}+4 p-9 p-36$
Factor by grouping.$x^{2}+5 x-3 x-15$
Factor.$-20 x-10$
Factor.$5 x^{3}-x^{2}+x$
Factor.$3 x^{3}-7 x^{2}+6 x-14$
Factor.$x^{3}+x^{2}-x-1$
Factor. $x^{2}+x y+5 x+5 y$
Factor. $5 x^{3}+3 x^{2}-5 x-3$
The area of a rectangle with length 6 less than the width is given by the expression $w^{2}-6 w$, where $w=$ width. Factor the greatest common factor from the polynomial.
The height of a baseball $t$ seconds after it is hit is given by the expression $-16 t^{2}+80 t+4$. Factor the greatest common factor from the polynomial.
The greatest common factor of 36 and 60 is 12 . Explain what this means.
What is the GCF of $y^{4}, y^{5}$, and $y^{10} ?$ Write a general rule that tells you how to find the GCF of $y^{a}, y^{b},$ and $y^{c}$.