Question

Medal

An expression is shown below:

3x3y + 12xy - 3x2y - 12y

Part A: Rewrite the expression so that the GCF is factored completely. (3 points)

Part B: Rewrite the expression completely factored. Show the steps of your work. (4 points)

Part C: If the two middle terms were switched so that the expression became 3x3y - 3x2y + 12xy - 12y, would the factored expression no longer be equivalent to your answer in part B? Explain your reasoning. (3 points)

Answer 1

@triciaal

Answer 2

Take the factor that is common to all the 4 terms... what u get?

Answer 3

x^3 + 4x - x^2 - 4 I believe

Answer 4

part C no same result commutative property same as 3 + 4 = 4 + 3

Answer 5

ok but in part B do I just show them how I got pat A

Answer 6

@midhun.madhu1987 is this what you got

3y(x-1)(x^2 + 4)

Answer 7

which part? @triciaal

Answer 8

@SedateFrog712 when you divide to factor an expression you leave the factor outside parenthesis.
so what did you divide by

Answer 9

@midhun.madhu1987 b

Answer 10

I divide by 3 because it was the gcf

Answer 11

is that all you divided by

Answer 12

yes for part a

Answer 13

yes.. @triciaal

Answer 14

the factors when multiplied must be equal to what is being factored

Answer 15

example what are the factors of 12 use 3 and 4 then 3*4 = 12
what if you had 6 + 15 common is 3 so 3 *2 + 3 *5 when factored would be 3(2 + 5) still 15 otherwise it becomes a division problem

Answer 16

after reading the example now ,what is the GCF for the expression

Answer 17

3y

Answer 18

yes

Answer 19

ok

Answer 20

so part a I would write down x^3 + 4x - x^2 - 4 and then in B I would explain how I got that correct

Answer 21

no Part A: Rewrite the expression
remember in the example how I rewrote 15 so it was still 15? do the same

Answer 22

so I would write down 3x3y + 12xy - 3x2y - 12y

Answer 23

Part B: Rewrite the expression COMPLETELY factored.

Answer 24

3x3y + 12xy - 3x2y - 12y
3y(3x3y + 12xy - 3x2y - 12y)
x^3 + 4x - x^2 - 4

Answer 25

PART A look at the post again when factored would be 3(2 + 5) still 15
3x3y + 12xy - 3x2y - 12y would be 3y (x^3 + 4x - x^2 - 4)

Answer 26

oh ok I see im sorry for that I got a little confused for a while there

Answer 27

I think you just need to understand the terminology
rewrite express same thing
solve find a value
etc

Answer 28

ok

Answer 29

now do part B factor COMPLETELY
this means the part in ( ) can be factored what are the factors then rewrite the original expression

Answer 30

I would factor out an x for each so it would look like this (x^2+4) (x-4)

Answer 31

part C is worth 3 points so you want want to prove you have the same results by reworking the problem with the middle terms switched and so the associate property

Answer 32

when you multiply what you have do you get your original?

Answer 33

repost
the factors when multiplied must be equal to what is being factored

Answer 34

It would not be equivalent

Answer 35

so try again

Answer 36

the reason it wouldn't tho is because if you used the GCF 3y it would look like this x^3-x^2+4x-4

Answer 37

slow down and read the post to follow what is required.

Answer 38

you factored out 3y and the other factor is ( )
now for part b factor ( ) correctly and when you are finish rewrite the expression to show all the factors 3y and what you get when you factor what is in ( )

Answer 39

do you understand now?

Answer 40

kind of I think I got this one down now thank you so much if I have any more problems later would you mind helping me

Answer 41

show what you got when you factored ( )

Answer 42

no I don't mind helping you at all. That's why I take the time with you.

Answer 43

The answer for b is above I just wanted to make sure you understand and can do it on your own

Answer 44

have a good day

Answer 45

you to your the best