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:- f(x)=x^3 + 4x^2 - 3x + 10;g(x)=x+4​

Answer 1

Answer:

Remainder when f(x) is divided by g(x) = 22

Step-by-step explanation:

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

Zero of  g(x) => (x+4)=0        =>x = (-4)

f(-4) = (-4)^3+4(-4)^2-3(-4)+10 = (-64)+64+12+10 = 12+10 = 22

Remainder when f(x) is divided by g(x) = 22