What is factor 2k^2+7k+5 ?

The solution to factor 2k^2+7k+5 is (k+1)(2k+5)

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factor 2k^2+7k+5

factor

2 k^{2} + 7 k + 5

(k + 1) (2 k + 5)

Solution steps

2 k^{2} + 7 k + 5

Break the expression into groups

= (2 k^{2} + 2 k) + (5 k + 5)

Factor out

2 k

from

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

Factor out

5

from

5 k + 5 : 5 (k + 1)

= 2 k (k + 1) + 5 (k + 1)

Factor out common term

k + 1

= (k + 1) (2 k + 5)

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