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Select one of the factors of 3x2 + 10x + 3

Mathematics
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thats not one of my options though. (3x + 1) (3x + 3) (3x – 1) None of the above
\[3x^2+9x+x+3\] I just found two factors of 3(3) that added up to be 10 Factor this by grouping
What factors does 3x^2 and 9x have in common?

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Other answers:

the factors they have in common is 3
and x right?
\[3x(x+3)+1(x+3)\] Now we have two terms. What do these two terms have in common?
so the answer is none of the above because its not one of my options
we aren't done
I was just asking you what 3x^2 and 9x had in common so that we can factor this beast
both have 3x in common?
right so from the first two terms i factored out 3x giving me \[3x(x+3)+x+3\]
But we can write this as \[3x(x+3)+1(x+3)\] since 1(x+3) is still x+3
now what factors does 3x(x+3) and 1(x+3) have in common besides the factor 1?
3x again?
no they both have the factor (x+3) in common
\[(x+3)(3x+1)\]
so the answer is (3x + 1)
x+3 and 3x+1 are both factors of the polynomial given
x+3 & 3x+1 are the factors

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