Question

f(x) = x ^ 3 - 6x ^ 2 - 19x + 84 , g(x) = x - 7 by divide​

Answer 1

Answer:

If g(x) is a factor of f(x), then the remainder will be zero that is g(x) = 0. g(x) = x – 7 = 0, then x = 7 Remainder = f(7) Now, f(7) = (7)3 – 6(7)2 – 19 x 7 + 84 = 343 – 294 – 133 + 84 = 343 + 84 – 294 – 133 = 0 Therefore, g(x) is a factor of f(x)If g(x) is a factor of f(x), then the remainder will be zero that is g(x) = 0. g(x) = x – 7 = 0, then x = 7 Remainder = f(7) Now, f(7) = (7)3 – 6(7)2 – 19 x 7 + 84 = 343 – 294 – 133 + 84 = 343 + 84 – 294 – 133 = 0 Therefore, g(x) is a factor of f(x).Read more on Sarthaks.com - https://www.sarthaks.com/607323/f-x-x-3-6x-2-19x-84-g-x-x-7?show=607325#a607325/www.sarthaks.com/607323/f-x-x-3-6x-2-19x-84-g-x-x-7?show=607325#a607325