Question

find the value of k if x-2 is a factor of x^3+3x^2+4

Answer 1

Answer:

Let f(x)=4x

3

+3x

2

−4x+k.

⇒(x−2) is a factor of f(x)

⇒ Remainder=0

⇒f(2)=4(2)

3

+3(2)

2

−4×(2)+k=0

⇒32+12−8+k=0

⇒36+k=0

∴k=−36