mscrosscountry 3 years ago Select one of the factors of 3x2 + 10x + 3

1. mscrosscountry

thats not one of my options though. (3x + 1) (3x + 3) (3x – 1) None of the above

2. myininaya

\[3x^2+9x+x+3\] I just found two factors of 3(3) that added up to be 10 Factor this by grouping

3. myininaya

What factors does 3x^2 and 9x have in common?

4. mscrosscountry

the factors they have in common is 3

5. myininaya

and x right?

6. myininaya

\[3x(x+3)+1(x+3)\] Now we have two terms. What do these two terms have in common?

7. mscrosscountry

so the answer is none of the above because its not one of my options

8. myininaya

we aren't done

9. myininaya

I was just asking you what 3x^2 and 9x had in common so that we can factor this beast

10. mscrosscountry

both have 3x in common?

11. myininaya

right so from the first two terms i factored out 3x giving me \[3x(x+3)+x+3\]

12. myininaya

But we can write this as \[3x(x+3)+1(x+3)\] since 1(x+3) is still x+3

13. myininaya

now what factors does 3x(x+3) and 1(x+3) have in common besides the factor 1?

14. mscrosscountry

3x again?

15. myininaya

no they both have the factor (x+3) in common

16. myininaya

\[(x+3)(3x+1)\]

17. mscrosscountry

so the answer is (3x + 1)

18. myininaya

x+3 and 3x+1 are both factors of the polynomial given

19. Sdowney

x+3 & 3x+1 are the factors