Chapter 7

Factor by grouping. \(x^{2}+5 x-3 x-15\)

Factor. \(-20 x-10\)

Factor. \(5 x^{3}-x^{2}+x\)

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.

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 \(y^{c}\).

Factor each trinomial of the form \(x^{2}+b x+c\). \(x^{2}+4 x+3\)

Factor each trinomial of the form \(x^{2}+b x+c\). \(y^{2}+8 y+7\)

Factor each trinomial of the form \(x^{2}+b x+c\). \(m^{2}+12 m+11\)

Factor each trinomial of the form \(x^{2}+b x+c\). \(a^{2}+9 a+20\)

Factor each trinomial of the form \(x^{2}+b x+c\). \(m^{2}+7 m+12\)

Factor each trinomial of the form \(x^{2}+b x+c\). \(p^{2}+11 p+30\)

Factor each trinomial of the form \(x^{2}+b x+c\). \(w^{2}+10 w+21\)

Factor each trinomial of the form \(x^{2}+b x+c\). \(n^{2}+19 n+48\)

Factor each trinomial of the form \(x^{2}+b x+c\). \(b^{2}+14 b+48\)

Factor each trinomial of the form \(x^{2}+b x+c\). \(a^{2}+25 a+100\)

Factor each trinomial of the form \(x^{2}+b x+c\). \(u^{2}+101 u+100\)

Factor each trinomial of the form \(x^{2}+b x+c\). \(x^{2}-8 x+12\)

Factor each trinomial of the form \(x^{2}+b x+c\). \(q^{2}-13 q+36\)

Factor each trinomial of the form \(x^{2}+b x+c\). \(y^{2}-18 y+45\)

Factor each trinomial of the form \(x^{2}+b x+c\). \(m^{2}-13 m+30\)

Factor each trinomial of the form \(x^{2}+b x+c\). \(x^{2}-8 x+7\)

Factor each trinomial of the form \(x^{2}+b x+c\). \(y^{2}-5 y+6\)

Factor each trinomial of the form \(x^{2}+b x+c\). \(p^{2}+5 p-6\)

Factor each trinomial of the form \(x^{2}+b x+c\). \(n^{2}+6 n-7\)

Factor each trinomial of the form \(x^{2}+b x+c\). \(y^{2}-6 y-7\)

Factor each trinomial of the form \(x^{2}+b x+c\). \(v^{2}-2 v-3\)

Factor each trinomial of the form \(x^{2}+b x+c\). \(x^{2}-x-12\)

Factor each trinomial of the form \(x^{2}+b x+c\). \(r^{2}-2 r-8\)

Factor each trinomial of the form \(x^{2}+b x+c\). \(w^{2}-5 w-36\)

Factor each trinomial of the form \(x^{2}+b x+c\). \(t^{2}-3 t-54\)

Factor each trinomial of the form \(x^{2}+b x+c\). \(x^{2}+x+5\)

Factor each trinomial of the form \(x^{2}+b x+c\). \(x^{2}-3 x-9\)

Factor each trinomial of the form \(x^{2}+b x+c\). \(8-6 x+x^{2}\)

Factor each trinomial of the form \(x^{2}+b x+c\). \(7 x+x^{2}+6\)

Factor each trinomial of the form \(x^{2}+b x+c\). \(-11-10 x+x^{2}\)

Factor each trinomial of the form \(x^{2}+b x y+c y^{2}\). \(p^{2}+3 p q+2 q^{2}\)

Factor each trinomial of the form \(x^{2}+b x y+c y^{2}\). \(m^{2}+6 m n+5 n^{2}\)

Factor each trinomial of the form \(x^{2}+b x y+c y^{2}\). \(r^{2}+15 r s+36 s^{2}\)

Factor each trinomial of the form \(x^{2}+b x y+c y^{2}\). \(u^{2}+10 u v+24 v^{2}\)

Factor each trinomial of the form \(x^{2}+b x y+c y^{2}\). \(m^{2}-12 m n+20 n^{2}\)

Factor each trinomial of the form \(x^{2}+b x y+c y^{2}\). \(p^{2}-16 p q+63 q^{2}\)

Factor each trinomial of the form \(x^{2}+b x y+c y^{2}\). \(x^{2}-2 x y-80 y^{2}\)

Factor each trinomial of the form \(x^{2}+b x y+c y^{2}\). \(p^{2}-8 p q-65 q^{2}\)

Factor each trinomial of the form \(x^{2}+b x y+c y^{2}\). \(m^{2}-64 m n-65 n^{2}\)

Factor each trinomial of the form \(x^{2}+b x y+c y^{2}\). \(p^{2}-2 p q-35 q^{2}\)

Factor each trinomial of the form \(x^{2}+b x y+c y^{2}\). \(a^{2}+5 a b-24 b^{2}\)

Factor each trinomial of the form \(x^{2}+b x y+c y^{2}\). \(r^{2}+3 r s-28 s^{2}\)