Question

In each of the following , using the remainder theorem , find the remainder when f(x) is divided by g(x) and verify the result by actual division : (1-8)
1) f(x) = X3 + 4x2 - 3x + 10 , g(x) = x + 4​

Answer 1

Answer:

Step-by-step explanation:

Let us denote the given polynomials as

We have to find the remainder when it is divided by.

By the remainder theorem, when is divided by the remainder is

Now we will show by actual division

So the remainder by actual division is 22.

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Answer 2

Answer:

22

Step-by-step explanation:

f(x)=x^3+4x^2-3x+10

g(x)=x+4

comparing(n+4) with (n-a),where a= -4

using remainder theorem,

R=f(×)=f(a)

f(-4)=(-4)^3+4(-4)^2-3(-4)+10

=-64+64+12+10

=22