Question

Find the remainder When the polynomial
P(x) =
${x}^{4} + 2x {}^{3} - 3x {}^{2} + x - 1$
is divided by
(x- 2)​

Answer 1

Answer:

P(x) = x^4 + 2x^3 - 3x^2 + x -1

It is divided by (x-2)

So, to find the remainder simply substitute x with 2.

Therefore, P(2) = 16 + 16 - 12 + 2 -1 = 21.

Remainder is 21.

✔️Hope it will help you.✔️

Answer 2

SOLUTION

Given,

$= > p(x) = {x}^{4} + 2 {x}^{3} - 3 {x}^{2} + x - 1$

DIvided by x-2

=) x-2= 0

=) x= 2

So,

$= > p(2) = {2}^{4} + 2(2) {}^{3} - 3(2) {}^{2} + 2 - 1 \\ = > p(2) = 16 + 16 - 12 + 2 - 1 \\ = > p(2) = 32 - 11 \\ = > p(2) = 21$

hope it helps ☺️