Question

(x^2 + kx + 10) ÷ (x - 1) has a remainder of 4.

I have no idea how to do this, I've tried Synthetic division, remainder theorem etc. and cant figure it out.

Answer 1

9514 1404 393

Answer:

k = -7

Explanation:

Attached are both synthetic division and remainder theorem solutions. Either way, you find the remainder is k+11, which you want to have a value of 4.

k +11 = 4

k = -7 . . . . . subtract 11 from both sides

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The second attachment shows the long division that validates this result.