Question

Find the remainder when 4xcube-5x+1 is divided by a)x-2. b)x+3. C)2x-1

Answer 1

$\huge\sf \green{hello...} \\ \rm \blue{the \: answer \: is} \\ if \: x = 2 \\ 4 {(2)}^{3} - 5(2) + 1 \\ 4(8) - 10 + 1 \\ 32 - 10 + 1 \\ 23. \\ \\ if \: x = - 3\\ 4 {( - 3)}^{3} - 5( - 3) + 1 \\4( - 27) + 15 + 1 \\ - 108 + 16 = - 92 \\ \\ if \: x = \frac{1}{2} \\ 4 {( \frac{1}{2} )}^{3} - 5( \frac{1}{2} ) + 1 \\4( \frac{1}{8} ) - \frac{5}{2} + 1 \\ \frac{1}{2} - \frac{5}{2} + 1 \\ = \frac{ - 3}{2}$