What is factor 2y^2+9y+4 ?

The solution to factor 2y^2+9y+4 is (2y+1)(y+4)

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factor 2y^2+9y+4

factor

2 y^{2} + 9 y + 4

(2 y + 1) (y + 4)

Solution steps

2 y^{2} + 9 y + 4

Break the expression into groups

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

Factor out

y

from

2 y^{2} + y : y (2 y + 1)

Factor out

4

from

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

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

Factor out common term

2 y + 1

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

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6 - 3 i