What is factor 5k^2+12k+7 ?

The solution to factor 5k^2+12k+7 is (k+1)(5k+7)

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factor 5k^2+12k+7

factor

5 k^{2} + 12 k + 7

(k + 1) (5 k + 7)

Solution steps

5 k^{2} + 12 k + 7

Break the expression into groups

= (5 k^{2} + 5 k) + (7 k + 7)

Factor out

5 k

from

5 k^{2} + 5 k : 5 k (k + 1)

Factor out

7

from

7 k + 7 : 7 (k + 1)

= 5 k (k + 1) + 7 (k + 1)

Factor out common term

k + 1

= (k + 1) (5 k + 7)

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\frac{6 !}{1 ! ( 6 - 1 ) !}