## calculusxy one year ago factoring quadratic expression...

1. calculusxy

$\huge 12x^2 + 12x + 3$

2. calculusxy

@Nnesha @hartnn

3. anonymous

factor out a 3 first

4. calculusxy

$\large 3(4x^2 + 4x + 1)$

5. anonymous

6. anonymous

hint: $(a+b)^2 = a^2+2ab+b^2$

7. calculusxy

i still don't understand

8. anonymous

using my model, let$\large a=2x$ and $\large b=1$

9. calculusxy

ok

10. calculusxy

can you please get to the point?

11. anonymous

ok, then $12x^2+12x+3 = 3(2x+1)^2$

12. Nnesha

there are like 4+ ways to factor quadratic equation i like AC method where we find two numbers when we multiply them we should get product of AC (a=leading coefficient , C= constant ) and when we add them we should get middle term which is b $\rm Ax^2+Bx+C$ a=leading coefficient b=middle term c-constant

13. Nnesha

|dw:1444168815625:dw| multiply A times C what two numbers you should multiply to get 4 and when you add them you should get 4

14. calculusxy

36: 1, 2, 3, 4, 6, 9, 12, 18, 36

15. Nnesha

first step)take out the GCF so 3( 4x^2+4x+1) is correct

16. Nnesha

$3 \color{ReD}{(4x^2+4x+1)}$ now we factor the quadratic equation 4x^2+4x+1

17. calculusxy

how do we factor that?

18. Nnesha

how do you want to factor it ? you can use quadratic formula or AC method i posted above

19. calculusxy

ac

20. Nnesha

alright read my comments let me know if you have a question :=)

21. calculusxy

i multiplied 4 x 1 = 4 factors of 4: 1, 2, 4

22. Nnesha

4 times 1 = 4 now what two numbers add up to 4 and when u multiply them you should get 4

23. calculusxy

3(2x + 1)(2x + 1)

24. Nnesha

hmm well in this question AC=4 and b=4 so two numbers are 2 times 2 =4 2+2= 4 and bec leading isn't equal to one we should factor by grouping |dw:1444169462918:dw| keep the first and last term write both numbers in the middle

25. Nnesha

can you please how u got 2x+1 ?? :=)

26. Nnesha

explain*

27. calculusxy

|dw:1444169574708:dw|

28. Nnesha

perfect!!!

29. calculusxy

and then i carried down the 3

30. calculusxy

|dw:1444169772616:dw|

31. Nnesha

|dw:1444169756892:dw| forgot the positive sign

32. Nnesha

yes right

33. calculusxy

okay thanks!