What is factor 2k^2+5k+3 ?

The solution to factor 2k^2+5k+3 is (k+1)(2k+3)

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factor 2k^2+5k+3

factor

2 k^{2} + 5 k + 3

(k + 1) (2 k + 3)

Solution steps

2 k^{2} + 5 k + 3

Break the expression into groups

= (2 k^{2} + 2 k) + (3 k + 3)

Factor out

2 k

from

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

Factor out

3

from

3 k + 3 : 3 (k + 1)

= 2 k (k + 1) + 3 (k + 1)

Factor out common term

k + 1

= (k + 1) (2 k + 3)

2 x + 440 = 8160

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