# Algebra 2

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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 -

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

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