402,159 views
13 votes
13 votes
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Is x + 2 a factor of f(x) = x5 – 3x4 - 3x3 + 9x2 - 4x +12?

please help asap

User Xline
by
2.9k points

2 Answers

12 votes
12 votes

Answer:

Yes, x+2 is a factor of f(x)

Explanation:

-2 | 1 -3 -3 9 -4 12

___-2_ 10_-14_10 -12

1 -5 7 -5 6 | 0

Since
(x^5-3x^4-3x^3+9x^2-4x+12)/(x+2)=x^4-5x^3+7x^2-5x+6 with no remainder, then x+2 is a factor

User Alexander MacLeod
by
2.9k points
16 votes
16 votes

Answer:

x=-2.01970690

Explanation:

Yes it is a factor

User Xiaoboa
by
3.3k points
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