Section 1
Greatest Common Factor and Factor by Grouping
In the following exercises, find the greatest common factor. $10 p^3 q, 12 p q^2$
In the following exercises, find the greatest common factor. $8 a^2 b^3, 10 a b^2$
In the following exercises, find the greatest common factor.$12 m^2 n^3, 30 m^5 n^3$
In the following exercises, find the greatest common factor.$28 x^2 y^4, 42 x^4 y^4$
In the following exercises, find the greatest common factor.$10 a^3, 12 a^2, 14 a$
In the following exercises, find the greatest common factor.$20 y^3, 28 y^2, 40 y$
In the following exercises, find the greatest common factor. $35 x^3 y^2, 10 x^4 y, 5 x^5 y^3$
In the following exercises, find the greatest common factor. $27 p^2 q^3, 45 p^3 q^4, 9 p^4 q^3$
In the following exercises, factor the greatest common foctor from each polynomial.. $6 m+9$
In the following exercises, factor the greatest common foctor from each polynomial. $14 p+35$
In the following exercises, factor the greatest common foctor from each polynomial.$9 n-63$
In the following exercises, factor the greatest common foctor from each polynomial.$45 b-18$
In the following exercises, factor the greatest common foctor from each polynomial. $3 x^2+6 x-9$
In the following exercises, factor the greatest common foctor from each polynomial.$4 y^2+8 y-4$
In the following exercises, factor the greatest common foctor from each polynomial. $8 p^2+4 p+2$
In the following exercises, factor the greatest common foctor from each polynomial. $10 q^2+14 q+20$
In the following exercises, factor the greatest common foctor from each polynomial. $8 y^3+16 y^2$
In the following exercises, factor the greatest common foctor from each polynomial.$12 x^3-10 x$
In the following exercises, factor the greatest common foctor from each polynomial.$5 x^3-15 x^2+20 x$
In the following exercises, factor the greatest common foctor from each polynomial. $8 m^2-40 m+16$
In the following exercises, factor the greatest common foctor from each polynomial.$24 x^3-12 x^2+15 x$
In the following exercises, factor the greatest common foctor from each polynomial. $24 y^3-18 y^2-30 y$
In the following exercises, factor the greatest common foctor from each polynomial.$12 x y^2+18 x^2 y^2-30 y^3$
In the following exercises, factor the greatest common foctor from each polynomial.$21 p q^2+35 p^2 q^2-28 q^3$
In the following exercises, factor the greatest common foctor from each polynomial.$20 x^3 y-4 x^2 y^2+12 x y^3$
In the following exercises, factor the greatest common foctor from each polynomial. $24 a^3 b+6 a^2 b^2-18 a b^3$
In the following exercises, factor the greatest common foctor from each polynomial.$-2 x-4$
In the following exercises, factor the greatest common foctor from each polynomial.$-3 b+12$
In the following exercises, factor the greatest common foctor from each polynomial.$-2 x^3+18 x^2-8 x$
In the following exercises, factor the greatest common foctor from each polynomial. $-5 y^3+35 y^2-15 y$
In the following exercises, factor the greatest common foctor from each polynomial. $-4 p^3 q-12 p^2 q^2+16 p q^2$
In the following exercises, factor the greatest common foctor from each polynomial.$-6 a^3 b-12 a^2 b^2+18 a b^2$
In the following exercises, factor the greatest common foctor from each polynomial. $5 x(x+1)+3(x+1)$
In the following exercises, factor the greatest common foctor from each polynomial. $2 x(x-1)+9(x-1)$
In the following exercises, factor the greatest common foctor from each polynomial. $3 b(b-2)-13(b-2)$
In the following exercises, factor the greatest common foctor from each polynomial.$6 m(m-5)-7(m-5)$
In the following exercises, factor by grouping.$a b+5 a+3 b+15$
In the following exercises, factor by grouping.$c d+6 c+4 d+24$
In the following exercises, factor by grouping. $8 y^2+y+40 y+5$
In the following exercises, factor by grouping.$6 y^2+7 y+24 y+28$
In the following exercises, factor by grouping.$u v-9 u+2 v-18$
In the following exercises, factor by grouping. $p q-10 p+8 q-80$
In the following exercises, factor by grouping.$u^2-u+6 u-6$
In the following exercises, factor by grouping.$x^2-x+4 x-4$
In the following exercises, factor by grouping. $9 p^2-3 p-20$
In the following exercises, factor by grouping. $16 q^2-8 q-35$
In the following exercises, factor by grouping. $m n-6 m-4 n+24$
In the following exercises, factor by grouping. $r^2-3 r-r+3$
In the following exercises, factor by grouping. $2 x^2-14 x-5 x+35$
In the following exercises, factor by grouping.$4 x^2-36 x-3 x+27$
In the folfowing exercises, foctor.$-18 x y^2-27 x^2 y$
In the folfowing exercises, foctor.$-4 x^3 y^5-x^2 y^3+12 x y^4$
In the folfowing exercises, foctor.$3 x^3-7 x^2+6 x-14$
In the folfowing exercises, foctor. $x^3+x^2-x-1$
In the folfowing exercises, foctor. $x^2+x y+5 x+5 y$
In the folfowing exercises, foctor.$5 x^3-3 x^2+5 x-3$
What does it mean to say a polynomial is in factored form?
How do you check result after factoring a 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 $y^c$.