Question

find the remainder when x cube + 2 X square + 4 x + 3x by the polynomial X - 1

Answer 1

X-1=o

X=1

X³+2x²+4X+3

=1+2+4+3=10

Answer 2

The gn poly
$p( x) = {x}^{3} + 2 {x}^{2} + 4x + 3$
When p(x) is divided by x-1 Thn
By Remainder Theorem

Remainder=
$p(1) = {1}^{3} + (2) {1}^{2} + 4(1) + 3 = 1 + 2 + 4 + 3 = 10$
Thus the remainder is 10