f(x) = x⁴ − 3x² + 4, g(x) = x − 2

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Solution

Let us denote the given polynomials as

We have to find the remainder whenis divided by.

By the remainder theorem, whenis divided bythe remainder is

We will calculate remainder by actual division

So the remainder is 8

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Similar questions

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

= x + 2

f (x) = x^{4} - 3 x^{2} + 4

g (x) = x - 2

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

p (x)

g (x)

p (x) = x^{4} - 3 x^{2} - 4; g (x) = x + 2

f (x) = x^{4} - 3 x^{2} + 4 x + 5, g (x) = x^{2} + 1 - x

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