What is factor 6x^2+13x-15 ?

The solution to factor 6x^2+13x-15 is (6x-5)(x+3)

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factor 6x^2+13x-15

factor

6 x^{2} + 13 x - 15

(6 x - 5) (x + 3)

Solution steps

6 x^{2} + 13 x - 15

Break the expression into groups

= (6 x^{2} - 5 x) + (18 x - 15)

Factor out

x

from

6 x^{2} - 5 x : x (6 x - 5)

Factor out

3

from

18 x - 15 : 3 (6 x - 5)

= x (6 x - 5) + 3 (6 x - 5)

Factor out common term

6 x - 5

= (6 x - 5) (x + 3)

\frac{x ^{2} - 3 x - 40}{x ^{2} - 11 x + 24}

\frac{4 10}{2}

5 \times 6

2 + 7 + 3

\frac{3}{5} - \frac{2}{10}