Solve Polynomial Division: Find K Given Remainder of 3

[HelloMotto]

Homework Statement

The remainder is 3 when 4x^2 + 9x + k is divided by x-1
Im suppose to find the K. I am just confused because this question they give me the remainder..so what am i suppose to do with it?

 

[rocomath]

Perform the usual operation, continue bringing k down and then at the end just solve for k by setting it equal to what your remainder should be.

 

[HelloMotto]

thank you

 

[HallsofIvy]

You could also use the fact that when a polynomial, P(x), is divided by x- a, the remainder is exactly P(a). You don't need to do any division at all.