Test 3 Section 3 Number 13 please!

OK, so this is one of those questions that looks *way* worse than it actually is. Here’s what you’re given:

That’s just another way of saying that then the polynomial is divided by the polynomial , the quotient is and the remainder is .

Now, here’s the important part. If you think about the first step in polynomial division, it’s this: you divide the leading coefficient of the dividend by the leading coefficient of the divisor. In this case, that means you divide 24 by *a*. And that tells you the leading coefficient of the quotient, which is –8. What’s the only number you can divide 24 by to get –8? That’s right, *a* MUST equal –3.

That’s it—you’re done! I’m going to put the full division below just because I like doing math, but in a timed test situation you should stop right there and bubble in B.