SOLUTION: which of the following is true about the polynomial f(x) = x3 + 9x2 + 24x + 16 ? a. -1 is a zero b. 1 is a zero c. -2 is a zero d. 2i is a zero

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Question 371217: which of the following is true about the polynomial f(x) = x3 + 9x2 + 24x + 16 ?
a. -1 is a zero
b. 1 is a zero
c. -2 is a zero
d. 2i is a zero
Answer by jsmallt9(3758)   (Show Source): You can put this solution on YOUR website!

One of the quickest ways to find a zero is to use Synthetic Division:
-1 |  1   9   24   16
----     -1   -8  -16
      ---------------
      1   8   16    0

Right off the bat we have a zero: -1 And f(x) factors into

The second factor is easily factored giving us:

We can now see the zeros of f(x): -1 and -4 (twice)
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