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 (x-a) 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