What is factor 4x^2+13x+9 ?

The solution to factor 4x^2+13x+9 is (x+1)(4x+9)

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factor 4x^2+13x+9

factor

4 x^{2} + 13 x + 9

(x + 1) (4 x + 9)

Solution steps

4 x^{2} + 13 x + 9

Break the expression into groups

= (4 x^{2} + 4 x) + (9 x + 9)

Factor out

4 x

from

4 x^{2} + 4 x : 4 x (x + 1)

Factor out

9

from

9 x + 9 : 9 (x + 1)

= 4 x (x + 1) + 9 (x + 1)

Factor out common term

x + 1

= (x + 1) (4 x + 9)

p^{2} + 5 p + 36 = 0

n^{3} + 6 n^{2} - 2 n - 12

\frac{8}{5} x - \frac{1}{12} = - 6

8 \cdot 24

6 x^{2} + 10