Solving a polynomial inequality

Algebra
Tutor: None Selected Time limit: 1 Day

Solve the inequality

(x^2 +1)( x + 4) (x - 3) > 0

Write your answer as an interval or union of intervals. 

Oct 22nd, 2015

Hello!

x^2+1 is always >0, so we can ignore this factor. The remaining part >0 when both factors x+4 and x-3 are positive (x>3) or both negative (x<-4).

The answer: x in (-infinity, -4) U (3, +infinity).

Please ask if something is unclear.
Oct 22nd, 2015

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Oct 22nd, 2015
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