Question

Given f(x) = 2x² + 2x + k, and the remainder when f(x) is divided by x - 1 is

13, then what is the value of k?

Answer 1

Explanation:

Set up either long division or synthetic div. I'd do the latter.

Your divisor for synth. div. should be -7.

__________

Then -7 / 2 9 k

-14 +35

--------------------

2 -5 k+35 Rem is 32;

Let 32 = k + 5 and solve for k:

k = -3.

Let's check that. Is k correct?

Then -7 / 2 9 -3

-14 +35

--------------------

2 -5 -3+35 = 32

Since the rem is 32, we are correct; k = -3.