What is factor 4y^2+7y-2 ?

The solution to factor 4y^2+7y-2 is (4y-1)(y+2)

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factor 4y^2+7y-2

factor

4 y^{2} + 7 y - 2

(4 y - 1) (y + 2)

Solution steps

4 y^{2} + 7 y - 2

Break the expression into groups

= (4 y^{2} - y) + (8 y - 2)

Factor out

y

from

4 y^{2} - y : y (4 y - 1)

Factor out

2

from

8 y - 2 : 2 (4 y - 1)

= y (4 y - 1) + 2 (4 y - 1)

Factor out common term

4 y - 1

= (4 y - 1) (y + 2)

5 x^{2} - 6 x - 8

3 x^{2} - 7 x + 4

4 x^{2} + 3 x - 6 = 0

(2 x + 3)^{2} + 25 = 0

(\frac{1}{4})^{1}