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anonymous
 one year ago
I'm not asking for the straight forward answer but can someone help me on this world problem please it has 3 parts:
An expression is shown below:
3x3y + 12xy  9x2y  36y
Part A: Rewrite the expression so that the GCF is factored completely. Show the steps of your work. (3 points)
Part B: Rewrite the expression completely factored. Show the steps of your work. (4 points)
anonymous
 one year ago
I'm not asking for the straight forward answer but can someone help me on this world problem please it has 3 parts: An expression is shown below: 3x3y + 12xy  9x2y  36y Part A: Rewrite the expression so that the GCF is factored completely. Show the steps of your work. (3 points) Part B: Rewrite the expression completely factored. Show the steps of your work. (4 points)

This Question is Closed

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0okay so lets first identify like terms in this function: \(\color{red}{3x^3}\color{blue}{y}+\color{red}{12x}\color{blue}{y}+(\color{red}{9x^2}\color{blue}{y})+\color{blue}{(36y)}\)

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0like terms are 3x^3y, and the 9x^3y @Jhannybean

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0Not quite there yet! Just hang in there a minute :)

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0Now between 3 , 12 , 9 and 36 what is the smallest number that is a factor of all the toehr numbers? (hint: you can write out your multiplcation table or divide each number out by the smallest number oyu see)

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0okay hold on @Jhannybean

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0its 36 right? @Jhannybean

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0its 36 right? @Jhannybean

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0cause 9 x4 = 36 12 x 3 = 36 3 x 12= 36 and 36x 1 = 36

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0Not quite, between 3, 9, 12 and 36, the GCF is the `prime` number that factors out when we write out the prime factorization. Let's try it out. between 3, 9, 12, 36 let's test it out. You have: 3: 3 x 1 = 3 9: 3 x 3 = 9 12: 4 x 3 = 2 x 2 x 3 36: 6 x 6 = 2 x 3 x 2 x 3 Looking at all the prime factors, we can see that `3` is common to all these numbers, correct?

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0ugh this is so hard, i will just guess...

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0No no, no guessing. Did the previous post confuse you anywhere?

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0In finding the greatest common factor, we have to simplify our function down to the basic multipliers that are evident throughout the function. We first start by looking at the constants instead of the variables, so prime factorization is what leads us to find that the smallest multiplier between all the numbers would be 3. That means if we were to FACTOR out a multiplier within the function, it would be 3, not 36, because 36 does not multiply with an integer to produce 3.

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0i thought thats where you find the number that goes into each one of the other numbers (12,3,9 @Jhannybean

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0i thought thats where you find the number that goes into each one of the other numbers (12,3,9 @Jhannybean

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0Yup! and 3 is the SMALLEST number that goes into 9, 12 and 36. Do you agree?

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0oh okay!! i thought it was the greatest number though?

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0The greatest number simplify refers to the LARGEST integer that factors (remember prime factorization!) into all the other numbers. That means when we're factoring all our numbers, what is the number that shows up in all the factorizations? that would be 3! Do you see what Im saying?

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0Oh okay i see i see so whats next? @Jhannybean

anonymous
 one year ago
Best ResponseYou've already chosen the best response.03: \(\boxed{3}\) x 1 = 3 9: \(\boxed{3}\) x\(\boxed{ 3 }\)= 9 12: 4 x \(\boxed{ 3}\) = 2 x 2 x \(\boxed{3}\) 36: 6 x 6 = 2 x 3 x 2 x \(\boxed{3}\)

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0Just to make things a bit more clear :)

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0Okay cool! how did u make that three so bold?

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0You were asking how I made it bold, right? I just typed in `\(\boxed{3}\)`

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0oh okay thats cool ,

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0well thanks for the help , ill try to do it! @Jhannybean

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0Anyway, back to what we were solving, i figured it out as well :)

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0So we have the numerical GCF, and that is `3`. Now we take another look at the problem and we find are variable thats a GCF.

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0the COMMON variable in each term of the function? \[3x^3\color{red}{y} + 12x\color{red}{y}  9x^2\color{red}{y}  36\color{red}{y}\]

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0wow ur smart! @Jhannybean

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0Thanks :) so we factored out 3, what else can we factor out of the function??

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0Lookat the highlighted red portion @idalisx3_

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0this is still part a?@Jhannybean

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0we can factor the x @Jhannybean

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0i need help with part c i already did part a and part b @Jhannybean

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0Yes, still part a. Lets speed things up by solving some steps. Then you can see where I'm going with my explanation. Our function: \(3x^3\color{red}{y} + 12x\color{red}{y}  9x^2\color{red}{y}  36\color{red}{y}\) This will become \[3y[x^3 +4x3x^212]\]\[3y[x^2(x3)+4(x3)]\]\[\boxed{3y[(x^2+4)(x3)]}\] Is this what you got for part A?

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0You have not posted a part C so I don't know what you are referring to.

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0yes i got that and heres part c Part C: If the two middle terms were switched so that the expression became 3x3y  9x2y + 12xy  36y, would the factored expression no longer be equivalent to your answer in part B? Explain your reasoning. (3 points)

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0First of all, is this a quiz question or homework?

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0quiz question why? @Jhannybean
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