Question

Find the remainder when 4x³-12x²+14x-3 is divided by 1/2

Answer 1

Answer:-

$4 {x}^{3} - 12 {x}^{2} + 14x - 3 = 0 \\ \\ 4( \frac{1}{2} )^{3} - 12( \frac{1}{2} )^{2} + \frac{14}{2} - 3 = 0 \\ \\ \frac{1}{2} - \frac{12}{4} + \frac{14}{2} - 3 \\ \\ \frac{1(2) - 12 + 14(2) - 3(2)}{4} \\ \\ \frac{2 - 12 + 28 - 6}{4} \\ \\ = \frac{12}{4} \\ \\ = 3$