What is x^2(6x+11)>3x+2 ?

The solution to x^2(6x+11)>3x+2 is -2 1/2

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x^2(6x+11)>3x+2

x^{2} (6 x + 11) > 3 x + 2

- 2 < x < - \frac{1}{3} or x > \frac{1}{2}

Interval Notation

(- 2, - \frac{1}{3}) \cup (\frac{1}{2}, \infty)

Decimal Notation

- 2 < x < - 0.33333 \dots or x > 0.5

Solution steps

x^{2} (6 x + 11) > 3 x + 2

Rewrite in standard form

6 x^{3} + 11 x^{2} - 2 - 3 x > 0

Factor

6 x^{3} + 11 x^{2} - 2 - 3 x : (x + 2) (3 x + 1) (2 x - 1)

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

Identify the intervals

- 2 < x < - \frac{1}{3} or x > \frac{1}{2}

4 x + 5 = 25

- \frac{1}{3} (4)

4 x^{2} + 2 = 326

(256)^{\frac{3}{4}}

x - 3.9 = 7.4

What is x^2(6x+11)>3x+2 ?
The solution to x^2(6x+11)>3x+2 is -2<x<-1/3 \lor x> 1/2