Posted by Peter on Friday, October 28, 2011 at 1:05am.
When x²  3x + 2k is divided by x + 2, the remainder is 7. Find the value of k. Use synthetic division to do so.

Algebra 2  Steve, Friday, October 28, 2011 at 11:27am
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