What is factor 6y^2+17y+5 ?

The solution to factor 6y^2+17y+5 is (3y+1)(2y+5)

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factor 6y^2+17y+5

factor

6 y^{2} + 17 y + 5

(3 y + 1) (2 y + 5)

Solution steps

6 y^{2} + 17 y + 5

Break the expression into groups

= (6 y^{2} + 2 y) + (15 y + 5)

Factor out

2 y

from

6 y^{2} + 2 y : 2 y (3 y + 1)

Factor out

5

from

15 y + 5 : 5 (3 y + 1)

= 2 y (3 y + 1) + 5 (3 y + 1)

Factor out common term

3 y + 1

= (3 y + 1) (2 y + 5)

\frac{3}{4} (2 x + \frac{1}{2}) = 2

x + 6 = 3 - 2 x

\frac{2 x + 4}{2} < 6

(\frac{1}{2})^{- 2} + 3^{0}

4 x + 1 \geq - 7