Question

on dividing X raise to 4 minus x cube + 3 X square + 3 X + 2 by dividing a polynomial g(x) the the quotient and remainder were x square minus x minus 2 and 2x respectively find g(x)
PLS FAST!!!

Answer 1

x³ - 3x² + x + 2 = g(x) (x - 2) + (-2x + 4) => g(x) (x - 2) = x³ - 3x² + 3x -2

=> g(x) = (x³ - 3x² + 3x -2)/(x2)

x²-x + 1

X-2 (x³ - 3x² + 3x -2) |_

x³ - 2x²

-x² + 3x - 2 -x² + 2x

X-2

X-2

g(x)=x²-x + 1