Question

if (2x-1) is a factor of 8x³+kx²-2x-1, find the value of k
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Answer 1

Answer:

So, first of all we will find the value of x

2x - 1 = 0

2x = 1

x = 1/2

Now put the value instead of x....

8 ( 1/2) ³ + k ( 1/2 )² - 2 ( 1/2) - 1

8 ( 1 / 8) + k ( 1 / 4) - 2/2 - 1

8/8 + k 1/4 - 1 - 1

1 + k 1/4 - 2 = 0 ( here to find the value of k we are putting = 0 )

1 + k 1/4 = 2

K 1/4 = 2 - 1

K 1/4 = 1

K 1 = 1 × 4

K = 4

So, I hope that you will be surely understand this solution