What is factor 4x^2+7x-15 ?

The solution to factor 4x^2+7x-15 is (4x-5)(x+3)

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factor 4x^2+7x-15

factor

4 x^{2} + 7 x - 15

(4 x - 5) (x + 3)

Solution steps

4 x^{2} + 7 x - 15

Break the expression into groups

= (4 x^{2} - 5 x) + (12 x - 15)

Factor out

x

from

4 x^{2} - 5 x : x (4 x - 5)

Factor out

3

from

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

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

Factor out common term

4 x - 5

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

x^{2} = 2 x - 17

2 x^{3} + 9 x^{2} + 4 x + 18

2 y^{2} - y - 1 = 0

- 3 x^{2} + 18 x - 4 = 0

- x^{2} - x + 2 \leq 0