What is factor 7y^2+17y+10 ?

The solution to factor 7y^2+17y+10 is (y+1)(7y+10)

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factor 7y^2+17y+10

factor

7 y^{2} + 17 y + 10

(y + 1) (7 y + 10)

Solution steps

7 y^{2} + 17 y + 10

Break the expression into groups

= (7 y^{2} + 7 y) + (10 y + 10)

Factor out

7 y

from

7 y^{2} + 7 y : 7 y (y + 1)

Factor out

10

from

10 y + 10 : 10 (y + 1)

= 7 y (y + 1) + 10 (y + 1)

Factor out common term

y + 1

= (y + 1) (7 y + 10)

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