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Question 470797: Use synthetic division to determine which of the following values of "c" is a
zero of 4x^3+37x^2+6x-27.
-3,5,-8,8,-4
a.5
b.-4
c.-8
d.-3
e.8
Answer by jim_thompson5910(35256)   (Show Source):
You can put this solution on YOUR website! Checking -3:
| -3 | | | 4 | 37 | 6 | -27 | | | | | | -12 | -75 | 207 | | | -------------------------------------- |
|---|
| | | 4 | 25 | -69 | 180 |
Since the last entry in the last row is NOT a 0, -3 is NOT a zero
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Checking 5:
| 5 | | | 4 | 37 | 6 | -27 | | | | | | 20 | 285 | 1455 | | | -------------------------------------- |
|---|
| | | 4 | 57 | 291 | 1428 |
Since the last entry in the last row is NOT a 0, 5 is NOT a zero
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Checking -8:
| -8 | | | 4 | 37 | 6 | -27 | | | | | | -32 | -40 | 272 | | | -------------------------------------- |
|---|
| | | 4 | 5 | -34 | 245 |
Since the last entry in the last row is NOT a 0, -8 is NOT a zero
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Checking 8:
| 8 | | | 4 | 37 | 6 | -27 | | | | | | 32 | 552 | 4464 | | | -------------------------------------- |
|---|
| | | 4 | 69 | 558 | 4437 |
Since the last entry in the last row is NOT a 0, 8 is NOT a zero
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Checking -4:
| -4 | | | 4 | 37 | 6 | -27 | | | | | | -16 | -84 | 312 | | | -------------------------------------- |
|---|
| | | 4 | 21 | -78 | 285 |
Since the last entry in the last row is NOT a 0, -4 is NOT a zero
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