What is factor 14x^2+31x+15 ?

The solution to factor 14x^2+31x+15 is (7x+5)(2x+3)

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factor 14x^2+31x+15

factor

14 x^{2} + 31 x + 15

(7 x + 5) (2 x + 3)

Solution steps

14 x^{2} + 31 x + 15

Break the expression into groups

= (14 x^{2} + 10 x) + (21 x + 15)

Factor out

2 x

from

14 x^{2} + 10 x : 2 x (7 x + 5)

Factor out

3

from

21 x + 15 : 3 (7 x + 5)

= 2 x (7 x + 5) + 3 (7 x + 5)

Factor out common term

7 x + 5

= (7 x + 5) (2 x + 3)

x^{3} + 2 x^{2} - 4 x - 8

- x^{2} + 7 x - 12 < 0

x^{2} + 7 = 6 x

8 (x - 9) - 9 (x - 8) = x + 8 - (x - 2)

5 (n + 1)^{2} = 40

What is factor 14x^2+31x+15 ?
The solution to factor 14x^2+31x+15 is (7x+5)(2x+3)