f(x) = 2x⁴ − 6x³ + 2x² − x + 2, g(x) = x + 2

Open in App

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

Now we will calculate the remainder by actual division

So the remainder by actual division is 92

Suggest Corrections

Similar questions

p (x) = 2 x^{4} - 6 x^{3} + 2 x^{2} - x + 2 and 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) = $2 x^{4} - 6 x^{3} + 2 x^{2} - x + 2$ , g(x) = x + 2

f (x) = 2 x^{4} - 6 x^{3} + 2 x^{2} - x + 2

P(x) =2x⁴-6x³+2x²-x+2

G(x)=x+2

Find remainder by long division.

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

q (x) = 2 x^{2} - 5 x + 3 a n d r (x) = - 2 x + 1

Join BYJU'S Learning Program