Question

If the polynomial 2x³-3x²+2x-4 ia dividedby x-2, what remainder will we get

Answer 1

When the polynomial 2x^3 - 3x^2 + 2x - 4 will get divided by x - 2,

Then, the quotient will be 2x^2 + x + 4
and the remainder will be 4.

(process in attachment)

Answer 2

As per the remainder theorm,
x-2=0,
then,
x=2,
sustitute 2 in x
2x^3-3x^2+2x-4=2×2×2×2-3×2×2+2×2-4
=16-12+4-4
=4