In each of the following, using the remainder theorem, find the remainder when f ( x ) is divided by g ( x ): f ( x ) = x 3 +4 x 2 -3 x +10, g ( x ) = x +4

Question

Philoid · Accepted Answer

We have,

f(x) = x³+4x²-3x+10 and g (x) = x + 4

Therefore, by remainder theorem when f (x) is divided by g (x) = x – (-4), the remainder is equal to f (-4)

Now, f(x) = x³+4x²-3x+10

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

= -64 + 4 * 16 + 12 + 10

= 22

Hence, required remainder is 22.

In each of the following, using the remainder theorem, find the remainder when f(x) is divided by g(x):f(x) = x3+4x2-3x+10, g(x) = x+4

In each of the following, using the remainder theorem, find the remainder when f(x) is divided by g(x):
f(x) = x³+4x²-3x+10, g(x) = x+4