Question

.
Find the value of k, if the polynomial p(x) = 4x³- 12x² +14x - k when divided by 2x – 1 leaves
3÷2​

Answer 1

Answer:

k = 3

Step-by-step explanation:

p(x) = 4x³- 12x² +14x - k

so, when we consider 2x-1 as a zero, we get remainder as 3/2

2x-1=0

x=1/2

now

p(1/2)= 4*(1/8) - 12*(1/4) + 14*(1/2) - k = 3/2

(1/2) - 3 + 7 - k = 3/2

4 - k =1

k = 3

Answer 2

Answer:

k = 3

Step-by-step explanation:

Hence,The the value of k equal to 3