Hey,
Can someone help me out with the problem above? The way I'm getting my answer, my teacher says it's a perfect square trinomial and is not a factor.
I am given the following choices:
2x + 9
2x + 1
4x + 3
2x + 3
Any help is appreciated; thank q very much~~!!!
2007-01-18 17:27:38 · 5 answers · asked by josephine 1 in Education & Reference ➔ Homework Help
First, thanks for those with the time to help explain this to me. I really, really appreciate it. The information is being very useful! =]
Second, I did spend time working on it and solving it with any methods I can basically come up with. So shut your mouth before you start telling me to do my part of the work. I am asking for help and explanation on how to approach the answer. I am not demanding for answer. Pathetic. Stop passing quickass judgment. And this is directed towards you, Annyeshan.
2007-01-18 18:29:35 · update #1
Since you have 4x^2 at the start and you know you will need a perfect square the first part of the equation has to be (2x+?). Because the square root of 4 is 2.
Now to get your second part you have to find a number that will
a) Have a product of 9 and b) Multiply by 2 twice to equal 12.
Also, since it is a perfect square it has to multiply by itself to equal 9.
Now that you know the rules of the second part it is obvious the answer has to be (2x+3).
If you want to check your work you can always multiply it back out to see if you are right. (2x+3)(2x+3)=4x^2+12x+9
2007-01-18 17:47:21 · answer #1 · answered by gamer_anthony 2 · 0⤊ 0⤋
This equation simplified is
(2x + 3)(2x+3)
You can prove this by the following
2x + 3
2x + 3
---------
4x^2 + 6x (by multiplication (FOIL))
- - - - - 6x + 9 (the - signs are just for format so ignore)
-----------------
4x^2 + 12x + 9 (by addition)
2007-01-18 17:45:24 · answer #2 · answered by The Answer Man 5 · 0⤊ 0⤋
the answer is 2x+3
4x^2+12x+9
you have to FOIL out the answer: FOIL means first outer inner last, pertaining to the numbers in the problem...
remember that it is a perfect square
meaning the answer is really (2x+3)^2
(2x+3)(2x+3)=
(2x)(2x)=4x^2
(2x)(3)=6x
(2x)(3)=6x
(3)(3)= 9
then you collect like terms
4x^2+6x+6x+9= 4x^2+12x+9
hence the equation you started with....
2007-01-18 17:47:04 · answer #3 · answered by TLC25 2 · 0⤊ 0⤋
I agree with gamer-ant.
I did this stuff not too long ago.
2007-01-18 19:01:19 · answer #4 · answered by duhhhhhhhhhhhtechie 2 · 0⤊ 0⤋
Do it on your own
2007-01-18 17:44:31 · answer #5 · answered by Anonymous · 0⤊ 2⤋