What is 2x^3+3x^2>111x+56 ?

The solution to 2x^3+3x^2>111x+56 is -8 7

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2x^3+3x^2>111x+56

2 x^{3} + 3 x^{2} > 111 x + 56

- 8 < x < - \frac{1}{2} or x > 7

Interval Notation

(- 8, - \frac{1}{2}) \cup (7, \infty)

Decimal Notation

- 8 < x < - 0.5 or x > 7

Solution steps

2 x^{3} + 3 x^{2} > 111 x + 56

Rewrite in standard form

2 x^{3} + 3 x^{2} - 56 - 111 x > 0

Factor

2 x^{3} + 3 x^{2} - 56 - 111 x : (x - 7) (2 x + 1) (x + 8)

(x - 7) (2 x + 1) (x + 8) > 0

Identify the intervals

- 8 < x < - \frac{1}{2} or x > 7

\frac{n !}{( n - 1 ) !}

- \frac{1}{8} + \frac{5}{6} - \frac{3}{4}

5 a^{2} + a - 48 = 0

1922

2^{- \frac{3}{2}}

What is 2x^3+3x^2>111x+56 ?
The solution to 2x^3+3x^2>111x+56 is -8<x<-1/2 \lor x>7