Chapter 6

For the following problems, factor, if possible, the polynomials. $$ m^{4}-n^{4} $$

Factor, if possible, the following trinomials. \(x^{2}-x y-6 y^{2}\)

Factor the following, if possible. $$ 14 p^{2}+31 p q-10 q^{2} $$

Factor each binomial completely. $$ m^{4}-n^{4} $$

For the following problems, use the grouping method to factor the polynomials. Some polynomials may not. be factorable using the grouping method. $$ 2 a b+3 a+18 b+27 $$

For the following problems, the first quantity represents the product and the second quantity a factor. Find the other factor.

For the following problems, factor the polynomials. $$ 9 a+18 $$

In the following problems, the first quantity represents the product and the second quantity represents a factor of that product. Find the other factor. $$ 21 b, 7 b $$

For the following problems, factor, if possible, the polynomials. $$ b^{2}+8 b+16 $$

Factor, if possible, the following trinomials. \(5 a^{5} b-10 a^{4} b^{2}+15 a^{3} b^{3}\)

Factor the following, if possible. $$ -24 w^{2} z^{2}+14 w z^{3}-2 z^{4} $$

Factor each binomial completely. $$ 16 y^{8}-1 $$

For the following problems, use the grouping method to factor the polynomials. Some polynomials may not. be factorable using the grouping method. $$ x y-7 x+4 y-28 $$

For the following problems, the first quantity represents the product and the second quantity a factor. Find the other factor. $$ 5 x+25,5 $$

For the following problems, factor the polynomials. $$ 6 a+24 $$

In the following problems, the first quantity represents the product and the second quantity represents a factor of that product. Find the other factor. $$ 15 a, 5 a $$

For the following problems, factor the trinomials when possible. $$ x^{2}+4 x+3 $$

For the following problems, factor, if possible, the polynomials. $$ 9 y^{2}-30 y+25 $$

Factor the following, if possible. $$ 3 x^{2}+6 x y+2 y^{2} $$

Factor, if possible, the following trinomials. $$ m^{2}-8 m+16 $$

For the following problems, the first quantity represents the product and the second quantity a factor. Find the other factor. $$ 16 a+64,8 $$

For the following problems, use the grouping method to factor the polynomials. Some polynomials may not. be factorable using the grouping method. $$ x y+x+3 y+3 $$

For the following problems, factor the polynomials. $$ 8 b+12 $$

In the following problems, the first quantity represents the product and the second quantity represents a factor of that product. Find the other factor. $$ 30 y^{4}, 6 $$

For the following problems, the first quantity represents the product and the second quantity a factor. Find the other factor. $$ 3 a^{2}+9 a, \quad 3 a $$

For the following problems, factor the trinomials when possible. $$ x^{2}+6 x+8 $$

For the following problems, factor, if possible, the polynomials. $$ x^{2}+5 x-15 $$

For the following problems, use the grouping method to factor the polynomials. Some polynomials may not. be factorable using the grouping method. $$ m p+3 m q+n p+3 n q $$

For the following problems, factor the polynomials. $$ 16 x+12 $$

In the following problems, the first quantity represents the product and the second quantity represents a factor of that product. Find the other factor. $$ 30 y^{4}, 6 $$

For the following problems, the first quantity represents the product and the second quantity a factor. Find the other factor. $$ 14 b^{2}+16 b, 2 b $$

For the following problems, factor the trinomials when possible. $$ x^{2}+7 x+12 $$

For the following problems, factor, if possible, the polynomials. $$ x^{2}-x-30 $$

Factor the following, if possible. Factor \(54 y^{2}+39 y w-28 w^{2}\).

Factor, if possible, the following trinomials. $$ 4 a^{2}+12 a+9 $$

For the following problems, use the grouping method to factor the polynomials. Some polynomials may not. be factorable using the grouping method. $$ a r+4 a s+5 b r+20 b s $$

For the following problems, factor the polynomials. $$ 4 x-6 $$

In the following problems, the first quantity represents the product and the second quantity represents a factor of that product. Find the other factor. $$ 8 x^{4}, 4 x $$

For the following problems, factor the trinomials when possible. $$ x^{2}+6 x+5 $$

Factor \(6 x^{2}+7 x-3\)

Factor, if possible, the following trinomials. $$ 9 x^{2}-24 x y+16 y^{2} $$

For the following problems, use the grouping method to factor the polynomials. Some polynomials may not. be factorable using the grouping method. $$ 14 a x-6 b x+21 a y-9 b y $$

For the following problems, the first quantity represents the product and the second quantity a factor. Find the other factor. $$ 21 x^{2}+28 x, 7 x $$

For the following problems, factor the polynomials. $$ 8 x-14 $$

In the following problems, the first quantity represents the product and the second quantity represents a factor of that product. Find the other factor. $$ 16 y^{5}, 2 y $$

For the following problems, the first quantity represents the product and the second quantity a factor. Find the other factor. $$ 45 y^{2}+50 y, \quad 5 y $$

For the following problems, factor the trinomials when possible. $$ y^{2}+8 y+12 $$

Factor the following, if possible. Factor \(14 x^{2}-31 x-10\).

Factor, if possible, the following trinomials. $$ 2 w^{3} z+16 w^{2} z^{2}+32 w z^{3} $$

For the following problems, use the grouping method to factor the polynomials. Some polynomials may not. be factorable using the grouping method. $$ 12 m x-6 b x+21 a y-9 b y $$