anonymous
  • anonymous
Select one of the factors of 3x2 + 10x + 3
Mathematics
katieb
  • katieb
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anonymous
  • anonymous
thats not one of my options though. (3x + 1) (3x + 3) (3x – 1) None of the above
myininaya
  • myininaya
\[3x^2+9x+x+3\] I just found two factors of 3(3) that added up to be 10 Factor this by grouping
myininaya
  • myininaya
What factors does 3x^2 and 9x have in common?

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

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