Question

Find the value of k, if ( − 1) is a factor of 4

3 + 3

2 − 4 + .​

Answer 1

Answer:

Let P(x)=4x

3

+3x

2

−4x+k

Given, (x−1) is a factor of P(x)

x−1=0

x=1∴ p(1)=4×(1)

2

+3×(1)

2

−4×(1)+k=0

4+3−4+k=0

k+3=0

k=−3

Hence, the value of k is −3.