Question

find the remainder by remainder theorem when. x^4-3x^3+2x^2-5 is divided by x-1

Answer 1

ANSWER :–

GIVEN :–

x⁴ - 3x³ + 2 x² - 5 = 0 is divided by x-1.

TO FIND :–

REMAINDER

SOLUTION :–

${ \bold{ \: \: . \: \: now \: \: use \: \: remainder \: \: theorm \: \: - }} \\ \\{ \bold{ \: \: . \: \: so \: \: put \: \: x = 1 \: \: in \: \: given \: \: equation - }} \\ \\ \\ { \bold{ \implies \:remainder = {(1)}^{4} - 3 {(1)}^{3} + 2 {(1)}^{2} - 5 }} \\ \\ \\ { \bold{ \implies \:remainder = 1 - 3 + 2 - 5 }} \\ \\ \\ { \bold{ \implies \: remainder = - 5}}$