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Popular >

x^3+x^2-10x+8>= 0

Solution

x^{3} + x^{2} - 10 x + 8 \geq 0

Solution

- 4 \leq x \leq 1 or x \geq 2

+1

Solution steps

x^{3} + x^{2} - 10 x + 8 \geq 0

Factor

x^{3} + x^{2} - 10 x + 8 : (x - 1) (x - 2) (x + 4)

(x - 1) (x - 2) (x + 4) \geq 0

Identify the intervals

- 4 \leq x \leq 1 or x \geq 2

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Frequently Asked Questions (FAQ)

What is x^3+x^2-10x+8>= 0 ?
The solution to x^3+x^2-10x+8>= 0 is -4<= x<= 1\lor x>= 2