The remainder when $4 x^{4} - 3 x^{3} + 2 x^{2} - x$ is divided by $x + 1$ is ___.

Open in App

Solution

Let, $p (x) = 4 x^{4} - 3 x^{3} + 2 x^{2} - x$
From remainder theorem, we know that:

Remainder of $\frac{p (x)}{(x - a)}$ is p(a).
$∴ R e m a i n d e r = p (- 1)$
$= 4 \times (- 1)^{4} - 3 \times (- 1)^{3} + 2 \times (- 1)^{2} - (- 1)$
$= 10$

Suggest Corrections

Similar questions

What will be the remainder when $4 x^{4} - 3 x^{3} + 2 x^{2} - x$ is divided by $x + 1$ ?

What is the remainder when $4 x^{4} - 3 x^{3} = 2 x^{2} - x$ is divided by $x + 1$ ?

In each of the following, using the remainder Theorem, find the remainder when f(x) is divided by g(x) and verify the result y actual division.

f(x) = $4 x^{4} - 3 x^{3} - 2 x^{2} + x - 7$ , g(x) = x - 1

3 x^{3} + 2 x^{2} - x + 4

3 + 2 x

\frac{- 1}{8}

[(4 x^{4} - 3 x^{3} - 2 x^{2} + 4 x - 3)

(x - 1)

Join BYJU'S Learning Program