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anonymous
 one year ago
Part A: Write the expression x2 + 5x + 6 as a product of two linear expressions. Show your work and justify each step. (5 points)
Part B: Rewrite x2  4x + 4 as a square of a linear expression. (3 points)
Part C: Do the expressions in parts A and B have a common factor? Justify your answer. (2 points)
anonymous
 one year ago
Part A: Write the expression x2 + 5x + 6 as a product of two linear expressions. Show your work and justify each step. (5 points) Part B: Rewrite x2  4x + 4 as a square of a linear expression. (3 points) Part C: Do the expressions in parts A and B have a common factor? Justify your answer. (2 points)

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wolf1728
 one year ago
Best ResponseYou've already chosen the best response.1Part A Basically isn't this just asking to factor the equation? (x +2) * (x +3)

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0yes but i have been having big problems trying to solve this things, i shouldn't be up crying over this....

wolf1728
 one year ago
Best ResponseYou've already chosen the best response.1Part B (x 2) * (x 2)

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0but how are you getting these...

wolf1728
 one year ago
Best ResponseYou've already chosen the best response.1I guess you don't know how to factor.

wolf1728
 one year ago
Best ResponseYou've already chosen the best response.1Okay let's take x2  4x + 4 in this case a=1 b=4 and c=4 (where a, b and c are the factors of each term of the equation) Do you understand that?

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0so in this case, a= 2 b=5 and c=6 ???

wolf1728
 one year ago
Best ResponseYou've already chosen the best response.1If you are referring to part A then a would equal 1 and you have the rest correct.

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0sorry, i missed that.. i understand that part. thank you! but can you explain part B?

wolf1728
 one year ago
Best ResponseYou've already chosen the best response.1Okay for part B the equation is x2  4x + 4 and a =1 b=4 and c=4

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0so its just like part a?

wolf1728
 one year ago
Best ResponseYou've already chosen the best response.1Yes they both require you to factor the equation

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0seems like i was stressing over nothing! somehow you made it clear to me, thank you so much

wolf1728
 one year ago
Best ResponseYou've already chosen the best response.1Okay then if you think you know it, then I am glad I helped you out. Do you have any problems with part C?

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0im having trouble finding the gcf

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0im new to this, its hard with no teacher or anyone to explain..

wolf1728
 one year ago
Best ResponseYou've already chosen the best response.1As for Part C I don't think that the equations have a common factor. Unless they mean both equations have an x^2 in there and the factor of x^2 is 1.

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0thats the part i was mostly confused on.

wolf1728
 one year ago
Best ResponseYou've already chosen the best response.1Well that's my answer. I don't know if it the correct answer but it's the best I could come up with.

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0thank you, do you mind if you can walk me through some other ones?

UsukiDoll
 one year ago
Best ResponseYou've already chosen the best response.1I don't see a common factor for part c either

UsukiDoll
 one year ago
Best ResponseYou've already chosen the best response.1for A (x +2) * (x +3) for B (x 2) * (x 2) unless the signs were swapped in B, there isn't a common factor.

UsukiDoll
 one year ago
Best ResponseYou've already chosen the best response.1and congrats @wolf1728 for reaching 95SS :)

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0can you help me on 3 more questions?

wolf1728
 one year ago
Best ResponseYou've already chosen the best response.1Three more??? Well okay. :)

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0yes.. but this is the last time having to deal with this topic...

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0A function is shown below: f(x) = x3 + 2x2  x  2 Part A: What are the factors of f(x)? Show your work. (3 points) Part B: What are the zeros of f(x)? Show your work. (2 points) Part C: What are the steps you would follow to graph f(x)? Describe the end behavior of the graph of f(x). (5 points)

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0for part a.... a=1 b=2 c=2 not 100% sure...

wolf1728
 one year ago
Best ResponseYou've already chosen the best response.1Part A a=1 b=2 c=1 d=2

wolf1728
 one year ago
Best ResponseYou've already chosen the best response.1You are now factoring a cubic equation

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0totaly just misssed the "x" there.. sorry about that

UsukiDoll
 one year ago
Best ResponseYou've already chosen the best response.1factor by grouping for the first part rational root test for the second part

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0im new that this.. @UsukiDoll

wolf1728
 one year ago
Best ResponseYou've already chosen the best response.1and it's been a while since I factored a cubic equation

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0B should be \[(x2)^2 \] because that is in square of a linear expression formio

UsukiDoll
 one year ago
Best ResponseYou've already chosen the best response.1(x2)^2 and (x2)(x2) mean the same thing.

UsukiDoll
 one year ago
Best ResponseYou've already chosen the best response.1For (x2)^2 that exponent number is 2 meaning write (x2) 2 times (x2)(x2) .

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0how did you get that

UsukiDoll
 one year ago
Best ResponseYou've already chosen the best response.1I was talking to Shalante earlier...

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0gotcha! i wish i could understand this, the first problem i got, but now this is totally different

UsukiDoll
 one year ago
Best ResponseYou've already chosen the best response.1I know... I got distracted... one sec while I cool off before going berserk.

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0okay, thank you for your help!

wolf1728
 one year ago
Best ResponseYou've already chosen the best response.1UsukiDoll it seems you know how to factor a cubic equation?

UsukiDoll
 one year ago
Best ResponseYou've already chosen the best response.1\[f(x) = x^3+2x^2x2\]

wolf1728
 one year ago
Best ResponseYou've already chosen the best response.1You mentioned grouping

UsukiDoll
 one year ago
Best ResponseYou've already chosen the best response.1I can't do anymore of this... I know it, but I'm being picked on.

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0no one is picking on you...

wolf1728
 one year ago
Best ResponseYou've already chosen the best response.1I found a method for factoring a cubic http://www.wikihow.com/FactoraCubicPolynomial it is a 12 step process!

UsukiDoll
 one year ago
Best ResponseYou've already chosen the best response.1oh no way... why do that when for the first two terms we can take out a x^2 and for the last two terms, take out the negative sign

UsukiDoll
 one year ago
Best ResponseYou've already chosen the best response.1\[\large f(x) = x^3+2x^2x2 \] on the first two terms \[\large x^3+2x^2 \] we noticed that there is a x^2 in common. we can see this easier by expanding. the exponent 3 means write x 3 times. similarly the exponent 2 means write x 2 times \[\large xxx+2xx \] we can yank out 2 x's \[\large xx(x+2) \] \[\large x^2( x+2) \]

UsukiDoll
 one year ago
Best ResponseYou've already chosen the best response.1so for the second half we just factor out the negative \[\large f(x) = x^3+2x^2x2 \] \[\large x2 \] \[\large (x+2) \]

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0@UsukiDoll It tells us to write in squares (x2)^2 is a square. This is new in algebra It like basic math telling us to write the solution of 5/8 +10/8 in mixed number form instead of reciprocal terms.

UsukiDoll
 one year ago
Best ResponseYou've already chosen the best response.1\[\large f(x) = x^3+2x^2x2 \] through factor by grouping we have \[\large x^2(x+2)(x+2)\]

UsukiDoll
 one year ago
Best ResponseYou've already chosen the best response.1@Shalante can you stop interrupting me please?

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0part b is worth 3 points. guess he wont get all the credit. I would have replied earlier, but my laptop went ham

UsukiDoll
 one year ago
Best ResponseYou've already chosen the best response.1anyway, we're still not done with the factor by grouping. We have one common term to yank out \[\large f(x) = x^2(x+2)(x+2)\] so we notice that there is a (x+2) in common uh oh. I forgot about one thing. there is usually a 1 written in front of the (x+2) \[\large f(x) = x^2(x+2)1(x+2)\] so now yanking out the (x+2) \[\large f(x) = (x+2)(x^21) \]

UsukiDoll
 one year ago
Best ResponseYou've already chosen the best response.1we can factor the \[\large x^21\] using difference of squares \[(a^2b^2) = (a+b)(ab)\] letting a = x and b =1 \[(x^21^2) = (x+1)(x1)\]

UsukiDoll
 one year ago
Best ResponseYou've already chosen the best response.1\[\large f(x) = (x+2)(x+1)(x1) \] that's the final factored form

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0thank you so much for explaining this to me.

UsukiDoll
 one year ago
Best ResponseYou've already chosen the best response.1so now we have to find our 0's... we just have to solve for x in 3 cases x+2 = 0, x+1=0, x1 =0

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0now what about the steps you would follow to graph f(x)? and Describe the end behavior of the graph of f(x)

UsukiDoll
 one year ago
Best ResponseYou've already chosen the best response.1did you solve for x first in the previous part? there should be 3

UsukiDoll
 one year ago
Best ResponseYou've already chosen the best response.1close.... solve for x x+1= 0 subtract 1 on both sides

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0some how im getting 2,1 and then 1 but im over thinking this and getting more confused

UsukiDoll
 one year ago
Best ResponseYou've already chosen the best response.1it's correct now x =2,1,1

UsukiDoll
 one year ago
Best ResponseYou've already chosen the best response.1oh wait I missed. ugh yeah wolf is right 2 1 1

UsukiDoll
 one year ago
Best ResponseYou've already chosen the best response.1I overlooked by accident.

wolf1728
 one year ago
Best ResponseYou've already chosen the best response.1you did the factoring though

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0made the same mistake.

UsukiDoll
 one year ago
Best ResponseYou've already chosen the best response.1It was an accident... geez.

wolf1728
 one year ago
Best ResponseYou've already chosen the best response.1but you factored it correctly Usuki :)

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0its late, im sure we all make mistakes.. its okay.. your doing a good job!

wolf1728
 one year ago
Best ResponseYou've already chosen the best response.1well I'm gonna get going

UsukiDoll
 one year ago
Best ResponseYou've already chosen the best response.1I'm out too. the nitpicking towards me is too much.

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0nobody is nitpicking, your helping me out alot

UsukiDoll
 one year ago
Best ResponseYou've already chosen the best response.1tell that to @Shalante then. I'm through with this.
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