Question

find the remainder polynomial px=x⁴-3x²+2x-5 is divided by x-2​

Answer 1

Step-by-step explanation:

$we \: know \: that \: the \: remainder \: whn \: a \: polynomial \: p(x) \: is \: divided \: by \: (x - a) \: is \: p(a) \\ \\ given \: that \\ \\ p(x) = {x}^{4} \: - 3x {}^{2} \: + 2x + 5 \\ divisor = (x - 1) \\ \\ so \: the \: remainder \: = p(1) \\ \: \: \: \: \: \: \: \: \: \: \: = {1}^{4} - 3 {(1)}^{2 \: } + 2(1) + 5 \\ \\ \: \: \: \: \: \: \: \: \: \: \: \: = 1 - 3 + 2 + 5 \\ \\ \: \: \: \: \: \: \: 5$