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Popular >

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

Solution

x^{3} + 3 x^{2} - x \geq 3

Solution

- 3 \leq x \leq - 1 or x \geq 1

+1

Interval Notation

[- 3, - 1] \cup [1, \infty)

Solution steps

x^{3} + 3 x^{2} - x \geq 3

Rewrite in standard form

x^{3} + 3 x^{2} - x - 3 \geq 0

Factor

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

(x + 3) (x + 1) (x - 1) \geq 0

Identify the intervals

- 3 \leq x \leq - 1 or x \geq 1

Popular Examples

simplify (x^3+y^3)/(x+y)simplify

\frac{x ^{3} + y ^{3}}{x + y}

simplify (1+k/n)^2-(1+k/n)simplify

(1 + \frac{k}{n})^{2} - (1 + \frac{k}{n})

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b^{3} - 4 b^{2} - 3 b + 12

∣ - 3 x + 4 ∣ - 4 < - 1

Frequently Asked Questions (FAQ)

What is x^3+3x^2-x>= 3 ?
The solution to x^3+3x^2-x>= 3 is -3<= x<=-1\lor x>= 1