What is factor 5x^2+23x+24 ?

The solution to factor 5x^2+23x+24 is (5x+8)(x+3)

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factor 5x^2+23x+24

factor

5 x^{2} + 23 x + 24

(5 x + 8) (x + 3)

Solution steps

5 x^{2} + 23 x + 24

Break the expression into groups

= (5 x^{2} + 8 x) + (15 x + 24)

Factor out

x

from

5 x^{2} + 8 x : x (5 x + 8)

Factor out

3

from

15 x + 24 : 3 (5 x + 8)

= x (5 x + 8) + 3 (5 x + 8)

Factor out common term

5 x + 8

= (5 x + 8) (x + 3)

x (x - 2) < 3

x^{2} + 5 x + 18 < 0

4 x^{2} + 31 x = 3 x

x^{2} + b x

\frac{k}{k}