## Nick2019 3 years ago Explain, in complete sentences, how you would use the two methods (distribution and box method) to find the product of (x – 2)(x – 3). Which method do you prefer and why?

1. jim_thompson5910

Distribution method: (x – 2)(x – 3) x(x-3) - 2(x-3) Distribute and simplify

2. jim_thompson5910

Box method |dw:1341862488934:dw|

3. jim_thompson5910

Each cell is found by multiplying the row header and the column header Ex: The upper right cell is found by multiplying the row header (x) by the column header (-2) to get -2x

4. jim_thompson5910

Once you've filled out the boxes, you add up all the terms

5. Nick2019

so can you do the box method and explain with the answer jim_thompson5910

6. jim_thompson5910

What is x times x?

7. TheViper

x^2

8. jim_thompson5910

I'm asking Nick2019 because I want to make sure he knows this (sorry, I don't mean to sound rude TheViper) So since x times x is x^2, this updates the boxes to get |dw:1341863362988:dw|

9. jim_thompson5910

Do the same with the other boxes and tell me what you get

10. Nick2019

lol sorry i left can i just get the asnwer lol

11. jim_thompson5910

what is x times -2 ?

12. Nick2019

-2x

13. jim_thompson5910

So the boxes updates to |dw:1341870148582:dw|

14. jim_thompson5910

What is -3 times x

15. Nick2019

-3x and then possitive 6

16. jim_thompson5910

so we then get |dw:1341870959503:dw|

17. jim_thompson5910

Now add up all the terms in the boxes x^2 + (-2x) + (-3x) + 6 x^2 - 2x - 3x + 6 x^2 - 5x + 6 So (x-2)(x-3) = x^2 - 5x + 6

18. Nick2019

thansk for the help i get it now

19. jim_thompson5910

yw

20. Nick2019

?

21. jim_thompson5910

yw = you're welcome

22. Nick2019

OH OK Thanks

23. jim_thompson5910

sure thing