Question

Q.7 Find the value of k, if x - 2 is a factor of 4x + 3x² - 4x + k.​

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.

Step-by-step explanation:

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Answer 2

Answer:

Step-by-step explanation:

x -2 = 0

2 = x

4x + 3x² - 4x + k

4(2) + 3(2)² - 4(2) + k = 0

8 + 3(4) - 8 + k = 0

k = -12