What is factor 5x^2+13x+6 ?

The solution to factor 5x^2+13x+6 is (5x+3)(x+2)

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factor 5x^2+13x+6

factor

5 x^{2} + 13 x + 6

(5 x + 3) (x + 2)

Solution steps

5 x^{2} + 13 x + 6

Break the expression into groups

= (5 x^{2} + 3 x) + (10 x + 6)

Factor out

x

from

5 x^{2} + 3 x : x (5 x + 3)

Factor out

2

from

10 x + 6 : 2 (5 x + 3)

= x (5 x + 3) + 2 (5 x + 3)

Factor out common term

5 x + 3

= (5 x + 3) (x + 2)

1 - (\frac{5}{6})^{3}

- 4 x - x^{2}

4 x^{2} + 9 x - 28

\frac{175}{3}