What is factor 3x^2+11x+8 ?

The solution to factor 3x^2+11x+8 is (x+1)(3x+8)

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factor 3x^2+11x+8

factor

3 x^{2} + 11 x + 8

(x + 1) (3 x + 8)

Solution steps

3 x^{2} + 11 x + 8

Break the expression into groups

= (3 x^{2} + 3 x) + (8 x + 8)

Factor out

3 x

from

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

Factor out

8

from

8 x + 8 : 8 (x + 1)

= 3 x (x + 1) + 8 (x + 1)

Factor out common term

x + 1

= (x + 1) (3 x + 8)

(2 x - 1) (- 5 x + 10) \leq 0

\frac{4}{3} \cdot \frac{2}{3}

12 8^{\frac{3}{4}} \cdot 2^{\frac{3}{4}}

\frac{2 x}{3} - x = \frac{x}{15} - \frac{4}{5}

\frac{x}{5} = 9