Chapter 6

For the following problems, factor the polynomials. $$ 21 y-28 $$

In the following problems, the first quantity represents the product and the second quantity represents a factor of that product. Find the other factor. $$ 6 x^{2} y, 3 x $$

For the following problems, the first quantity represents the product and the second quantity a factor. Find the other factor. $$ 18 a^{2}-4 a, 2 a $$

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

Factor the following, if possible. Factor \(48 x^{2}+22 x-15\).

Factor, if possible, the following trinomials. $$ x^{2}+12 x+49 $$

For the following problems, use the grouping method to factor the polynomials. Some polynomials may not. be factorable using the grouping method. $$ 36 a k-8 a h-27 b k+6 b h $$

For the following problems, factor the polynomials. $$ 16 f-36 $$

In the following problems, the first quantity represents the product and the second quantity represents a factor of that product. Find the other factor. $$ 9 a^{4} b^{5}, 9 a^{4} $$

For the following problems, the first quantity represents the product and the second quantity a factor. Find the other factor. $$ 20 a^{2}-12 a, 4 a $$

For the following problems, factor the trinomials when possible. $$ y^{2}-5 y+4 $$

Factor the following, if possible. Factor \(10 x^{2}-23 x w+12 w^{2}\).

For the following problems, factor the binomials. $$ a^{2}-9 $$

For the following problems, factor the polynomials. $$ 12 x^{2}+18 x $$

In the following problems, the first quantity represents the product and the second quantity represents a factor of that product. Find the other factor. $$ 15 x^{2} b^{4} c^{7}, 5 x^{2} b c^{6} $$

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

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

For the following problems, factor the binomials. $$ a^{2}-25 $$

For the following problems, use the grouping method to factor the polynomials. Some polynomials may not. be factorable using the grouping method. $$ 3 n^{2}+6 n+9 m^{3}+12 m $$

For the following problems, the first quantity represents the product and the second quantity a factor. Find the other factor. $$ 7 x^{2}-14 x, 7 x $$

For the following problems, factor the polynomials. $$ 10 y^{2}+15 y $$

In the following problems, the first quantity represents the product and the second quantity represents a factor of that product. Find the other factor. $$ 25 a^{3} b^{2} c, 5 a c $$

For the following problems, the first quantity represents the product and the second quantity a factor. Find the other factor. $$ 6 y^{2}-24 y, 6 y $$

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

For the following problems, factor the binomials. $$ x^{2}-16 $$

For the following problems, use the grouping method to factor the polynomials. Some polynomials may not. be factorable using the grouping method. $$ 8 y^{4}-5 y^{3}+12 z^{2}-10 z $$

In the following problems, the first quantity represents the product and the second quantity represents a factor of that product. Find the other factor. $$ 18 x^{2} b^{5}, \quad-2 x b^{4} $$

For the following problems, factor the trinomials when possible. $$ x^{2}+4 x-21 $$

Factor the following problems, if possible. $$ 2 x^{2}+7 x+5 $$

For the following problems, factor the binomials. $$ y^{2}-49 $$

For the following problems, use the grouping method to factor the polynomials. Some polynomials may not. be factorable using the grouping method. $$ x^{2}+4 x-3 y^{2}+y $$

For the following problems, the first quantity represents the product and the second quantity a factor. Find the other factor. $$ 8 a^{2}+4 a, 4 a $$

In the following problems, the first quantity represents the product and the second quantity represents a factor of that product. Find the other factor. $$ 22 b^{8} c^{6} d^{3}, \quad-11 b^{8} c^{4} $$

For the following problems, factor the trinomials when possible. $$ x^{2}-4 x-21 $$

Factor the following problems, if possible. $$ 3 x^{2}+4 x+1 $$

For the following problems, factor the binomials. $$ a^{2}-100 $$

For the following problems, use the grouping method to factor the polynomials. Some polynomials may not. be factorable using the grouping method. $$ x^{2}-3 x+x y-3 y $$

For the following problems, the first quantity represents the product and the second quantity a factor. Find the other factor. $$ 26 b^{2}+13 b, 13 b $$

For the following problems, factor the polynomials. $$ 3 y^{2}-6 $$

In the following problems, the first quantity represents the product and the second quantity represents a factor of that product. Find the other factor. $$ -60 x^{5} b^{3} f^{9}, \quad-15 x^{2} b^{2} f^{2} $$

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

For the following problems, factor the binomials. $$ b^{2}-36 $$

Factor the following problems, if possible. $$ 2 x^{2}+11 x+12 $$

For the following problems, use the grouping method to factor the polynomials. Some polynomials may not. be factorable using the grouping method. $$ 2 n^{2}+12 n-5 m n-30 m $$

For the following problems, the first quantity represents the product and the second quantity a factor. Find the other factor. $$ 9 x^{2}+6 x+18,6 $$

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

In the following problems, the first quantity represents the product and the second quantity represents a factor of that product. Find the other factor. $$ 39 x^{4} y^{5} z^{11}, \quad 3 x y^{3} z^{10} $$

For the following problems, factor the polynomials. $$ 6 y^{2}-6 y $$

For the following problems, factor the binomials. $$ 4 a^{2}-64 $$

For the following problems, factor the trinomials when possible. $$ y^{2}+10 y+16 $$