Find the remainder when $p (x) = x^{4} + 4 x^{3} + 7 x^{2} - 4$ is divided by $x + 1$ .
[Hint: Use remainder theorem]
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Solution

The correct option is A 0

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p (x)

g (x)

p (x) = 4 x^{3} - 10 x^{2} + 12 x - 3 g (x) = x + 1

Using the remainder theorem, find the remainder, when p(x) is divided by g(x), where
$p (x) = 2 x^{3} - 7 x^{2} + 9 x - 13, g (x) = x - 3$

p (x)

q (x)

p (x) = x^{4} + x^{3} + x^{2} - 5 x + 1, q (x) = x + 1

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

x + 3

4 x^{3} + 5 x - 10

x - 3

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