What is factor 3x^2+11x-20 ?

The solution to factor 3x^2+11x-20 is (3x-4)(x+5)

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factor 3x^2+11x-20

factor

3 x^{2} + 11 x - 20

(3 x - 4) (x + 5)

Solution steps

3 x^{2} + 11 x - 20

Break the expression into groups

= (3 x^{2} - 4 x) + (15 x - 20)

Factor out

x

from

3 x^{2} - 4 x : x (3 x - 4)

Factor out

5

from

15 x - 20 : 5 (3 x - 4)

= x (3 x - 4) + 5 (3 x - 4)

Factor out common term

3 x - 4

= (3 x - 4) (x + 5)

\frac{( x + 7 ) ( x - 4 )}{x + 5} \leq 0

10 x^{2} - 26 x = - 12

6 y^{2} + 11 y = 10

x^{2} + 3 x - 15 < 0

3 x - 12