Posted by **Kelli** on Friday, January 4, 2013 at 7:55am.

solve the polynomial ineqaality. express the solution set in interval notation.

x^3+x^2+64x+64>0

- math -
**priyanka**, Friday, January 4, 2013 at 8:24am
332

- math -
**nina**, Friday, January 4, 2013 at 8:25am
ss33

- math -
**Reiny**, Friday, January 4, 2013 at 8:52am
x^3+x^2+64x+64>0

x^2(x+1) + 64(x+1) > 0

(x+1)(x^2 + 64) > 0

since x^2 + 64 is always positive

we just have to look at

x+1 > 0

x > -1

see

http://www.wolframalpha.com/input/?i=x%5E3%2Bx%5E2%2B64x%2B64

notice the graph is > 0 (above the x-axis) for all values of x , x >-1

The first graph looks like a straight line, but it isn't.

the scaling distorts the graph.

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