What is factor 3j^2+8j+5 ?

The solution to factor 3j^2+8j+5 is (j+1)(3j+5)

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factor 3j^2+8j+5

factor

3 j^{2} + 8 j + 5

(j + 1) (3 j + 5)

Solution steps

3 j^{2} + 8 j + 5

Break the expression into groups

= (3 j^{2} + 3 j) + (5 j + 5)

Factor out

3 j

from

3 j^{2} + 3 j : 3 j (j + 1)

Factor out

5

from

5 j + 5 : 5 (j + 1)

= 3 j (j + 1) + 5 (j + 1)

Factor out common term

j + 1

= (j + 1) (3 j + 5)

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