What is factor 2y^2+7y+6 ?

The solution to factor 2y^2+7y+6 is (2y+3)(y+2)

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factor 2y^2+7y+6

factor

2 y^{2} + 7 y + 6

(2 y + 3) (y + 2)

Solution steps

2 y^{2} + 7 y + 6

Break the expression into groups

= (2 y^{2} + 3 y) + (4 y + 6)

Factor out

y

from

2 y^{2} + 3 y : y (2 y + 3)

Factor out

2

from

4 y + 6 : 2 (2 y + 3)

= y (2 y + 3) + 2 (2 y + 3)

Factor out common term

2 y + 3

= (2 y + 3) (y + 2)

2 \cdot 14

12 x^{2} - 54 x y

- 1

x^{3} - 8 x^{2} + 41 x

x^{2} + 1 = 0