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Popular >

x^3+3x^2>-x-3

Solution

x^{3} + 3 x^{2} > - x - 3

Solution

x > - 3

+1

Interval Notation

(- 3, \infty)

Solution steps

x^{3} + 3 x^{2} > - x - 3

Rewrite in standard form

x^{3} + 3 x^{2} + 3 + x > 0

Factor

x^{3} + 3 x^{2} + 3 + x : (x + 3) (x^{2} + 1)

(x + 3) (x^{2} + 1) > 0

Identify the intervals

x > - 3

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4^{2} - 5 x - 6

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3 + (- 1)

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\frac{1}{6} \cdot 27

Frequently Asked Questions (FAQ)

What is x^3+3x^2>-x-3 ?
The solution to x^3+3x^2>-x-3 is x>-3