Question

Find the remainder when x^4 + x^3 -2x^2+x^+1 is divided by x-1 .

Answer 1

Hello friends!!

Here is your answer :

P(x) = x⁴ + x³ - 2x² + x + 1

G(x) = x - 1

Here,

Zero of g(x) is 1.

When we divide p(x) by g(x) using remainder theorem, we get the remainder p(1).

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


$= 1 + 1 - 2 + 1 + 1$


$= 4 - 2$


$= 2$


Hope it helps you.. ^_^

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