Question

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Answer 1

The required value of "k" is 8. Option B is correct

Given the polynomial function

$P(x) =2x^3-4x^2+kx-3$

What is remainder theorem?

The remainder theorem is a formula used to find the remainder when a polynomial is divided by a linear function.

If  this polynomial has a factor of x - 1 and remainder of 3, hence x = 1 and P(x) = 3. This means that P(1) = 3

$P(1) =2(1)^3-4(1)^2+k(1)-3\\3 = 2-4+k-3\\6 = -2 + k\\k = 8$

Hence the required value of "k" is 8

Learn more on polynomial function  here: brainly.com/question/10881257