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Question

5n^2 + 19n + 12

Simplified not answered 

Answer 1

5n² +19n + 12

 

We use "factor by grouping" since the cofficient of

the square term is not 1.

 

1). Multiply the coefficient of the square term, 5, by

the constant, 12.  5(12)=60

 

2). Look for factors of 60 that add to 19, the coefficient

of the n term

15(4)=60 and 15+4=19

 

3). Replace 19n with 15n+4n

 

5n² + 15n + 4n + 12

 

4). Group and factor

 

(5n² + 15n) + (4n +12)

5n(n + 3) + 4(n + 3)

(5n+4)(n+3)

 

Final answer:

5n²+19n+12 = (5n+4)(n+3)