Question

Find the value of k, if (2x – 1) is a factor of 4x3
+ 2x2– 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.

I think it's help u....

Answer 2

Answer:

2X-1 is a factor of polynomial

4x³- 6x²-4x + k

2X- 1=0

2x=1

X= ½

P(x) =4x³-6x²-4x + K

P(½)= 4 × (½)² - 4×½ +K

=4×¼ - 2+K

= 1 - 2 + K =0

= K = 1

I hope this ans is helpful