Algebra 2
posted by Peter .
When x²  3x + 2k is divided by x + 2, the remainder is 7. Find the value of k. Use synthetic division to do so.

As you know from the Remainder Theorem, dividing p(x) by (xa) gives f(a) as the remainder.
we have f(2) = 7
f(2) = 4 + 6 + 2k = 7
2k = 3
k = 3/2
So, we have x^2  3k  3