Question

find the remainder when f(x) = x^3 - 12x^2 + 14x - 3 is divisible by g(x) = 2x - 1

Answer 1

By remainder theorem, reqd. remainder = f(2x) = f(1)

or, f(x) = f(1/2)

$= { (\frac{1}{2}) }^{3} - 12 {( \frac{1}{2} )}^{2} + 14( \frac{1}{2} ) - 3 \\ = \frac{1}{8} - 3 + 7 - 3 \\ = \frac{57}{8} - 6 \\ = \frac{9}{8}$

HOPE THIS COULD HELP!!!