Question 1018711: Show that -4 is a zero of multiplicity two of the function y=x^4+9x^3+23x^2+8x-16.
Answer by josgarithmetic(39625)   (Show Source):
You can put this solution on YOUR website! Can synthetic division by applied twice in succession and give remainder 0 for both of them?
That means, using synthetic division exactly two times in succession to "check the root, -4", will give 0 remainder, exactly those two times.
-4 | 1 9 23 8 -16
| -4 -20 -12 16
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1 5 3 -4 0
-4 | 1 5 3 -4
| -4 -4 4
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1 1 -1 0
-4 | 1 1 -1
| -4 12
|_______________________
1 -3 11
-4 is a zero of the function shown at multiplicity 2.
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