Question

2 2 divide the polynomial p x=x3-3x +5x-3 by the polynomial gx =x -2 and find the reminder

Answer 1

p(x)=x3−3x2+5x−3

g(x)=x2−2

p(x)÷g(x)

(x3−3x2+5x−3)÷(x2−2)

x2−2x3−3x2+5x−3=(x−3)+(x2−2)(7x−9)

Quotient =(x−3)

Remainder =(7x−9)