University:
Missouri State University
Course:
MTH 103 | Intermediate Algebra
Academic year:

2019
Views:

282

Pages:

2
Author:

pubicswprv

Algebra 1 Name Key ID: 1 Section 8.4: Zero product property, GCF Solve each equation by using the zero product property. 1) (n - 5)(n + 3) = 0 2) (x - 3)(x + 1) = 0 n-5=0 n + 3 = 0 n = 5 n = - 3 n = - 31 < x - 3 = 0x + 1 = 0 x = 3 x = - 1 x = - 1, 2 3) (a + 3)(a + 8) = 0 a + 3 = 0 a = - 3 a + 8 = 0 a = - 8 a = - 8, - 3 4) m(m + 7) = 0 m=0 m +7 simeq0 m = - 7 wm = - 7 5) (3x - 8)(x - 3) = 0 3x - 8 = c x = 8/3 x - 3 = c x = 3 x = 8/21 * 3 6) (3p + 1)(8p - 3) = 0 3p - 1 = 0 p = - 1/3 8f - 3 = 0 p=^ 2 / g p = - 1/3 호 7) (a - 7)(a - 3) = 0 a - 7 = 0 a - 3 = 0 93 3,1 8) (4v + 5)(v + 7) = 0 4v + 5 = 0 y + 7 = 0 y = - (2pi)/4 =-7 underline v=-7. - - 5/4 10) (v + 8) ^ 2 = 0 9) 3p(5p - 1) = 0 3p = 6 Sp-1:0 p = \mathcal{C} p = 1/s P = 0 18:0 8-17 Factor the common factor out of each expression. 11) 16r ^ 4 - 28r 4r(4r ^ 3 - 7) 12) - 63p + 56 - 7(9p - 8) 13) 50r + 10 10(5x + 1) 14) - 20x ^ 2 - 24x - 4x(5x - 6) 15) - 30m ^ 3 + 18 - 6(5m ^ 3 - 5) 16) 7r ^ 3 - 21r ^ 3 7r ^ 3 * (r ^ 5 - 3) 17) 3x ^ 3 * y - 6x ^ 2 * y 3x ^ 2 * y(x - 2) 18) 10a ^ 2 * b ^ 7 + 20a ^ 3 10a ^ 2 * (b ^ 2 + 2a) 19) - 6a ^ 2 + 60a + 6 - 6(a ^ 2 + 10a + 1) 20) 35a ^ 6 + 50a ^ 4 - 30a ^ 3 5a ^ 3 * (7a ^ 3 + 10a - 6) Solve each equation by factoring. 21) 3v ^ 2 + 18v = 0 3v(v + 6) = 0 34:0 4Ls = ∞ v = 0 v = - t * o w = - 601 23) 2r ^ 2 - 10r = 0 2c(x - 5) = c 2520 1-5=0 x = 5 x = 0.5 25) 3a ^ 2 = - 3a 3a ^ 2 + 30 = 0 3a(a + 1) = 0 2d = 0 alpha = 0 a + 1 = 0 a = - 1 a = - 1, 0 27) 5n ^ 2 = - 20n 5n ^ 2 + 20n = 0 5n(n + 4) = 0 5n = 0n + 4 = 0 ^= C m = - 4, 0 22) 7r ^ 2 - 14r = 0 7x(x - 7) = 0 7c = b f = 0 t - 7 = 0 r = 7 10,2 24) 7n ^ 2 + 49n = 0 7n(n + 7) = 0 7m = 0 :0 m = 0 n = - 7 n = - 7, 0 26) 4v ^ 2 = 8v 4v ^ 2 - 8v = 0 4v(v - 2) = 0 4v = 0 W r overline I = emptyset V <= \mathbb{Z} j = O_{1} 28) 4x ^ 2 = 24x 4x ^ 2 - 24x = 0 4x(x - 6) = 0 4x = 0 x = 0 x-( c = 0 X = alpha, C