Question

Find the value of k if x-1 is factor of 4x³+3x²-4x+k hence find the value of p of the point 4 k,6 k lies on graph of equation x+y=p​

Answer 1

Step-by-step explanation:

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.

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