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Can someone help me please?? in Algblra2 - Variations, Progression, and Theorems

18. Determine, if possible, if (y – 1) is a factor (y3 – 9y2 + 10y +5).

A. Yes
B. Not enough information to determine
C. Only if x = –1
D. No

User Varantir
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1 Answer

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If (y-1) is a factor of f(y), f(y)=0 when y=1. So if you find that f(1)=0, then (y-1) is a factor of f(y).

f(y)=y^3-9y^2+10y+5

f(1)=1-9+10+5=7

Since f(1)=7, (y-1) is not a factor.
User ZippyV
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