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Mathematics 25 Online
OpenStudy (anonymous):

Need help on factoring trinomials:(

OpenStudy (anonymous):

\[16a^2-8a+1\]

OpenStudy (anonymous):

@johnweldon1993 @Luigi0210 @cwrw238

OpenStudy (luigi0210):

Well, judging by that 1 at the end, and that minus in the middle, we know it will be something like (a-1)(b-1) Now the trick is finding a and b, which, might be the same thing, so any guesses? ლ(■_■ლ)

OpenStudy (anonymous):

To solve that, first multiply 1 by 16: a^2-8a+16 Now we need to find two numbers that multiply to 16, but add to -8. They are -4, and -4 so: (a+4)(a+4) Next we divide by 16 (4a+1)(4a+1) or (4a+1)^2

OpenStudy (luigi0210):

Zeinas, check again :3

OpenStudy (luigi0210):

That'll give us: \[\LARGE 16a^2+8x+1\]

OpenStudy (luigi0210):

*8a Ugh, I keep confusing variables.

OpenStudy (anonymous):

Again. lol @Luigi0210

OpenStudy (anonymous):

@zeinas. your answer is not correct...

OpenStudy (luigi0210):

it's \[\LARGE (4a-1)^2\] :3

OpenStudy (anonymous):

Lol stupid negative sign. @Luigi0210 is right. It should be (4a-1)^2

OpenStudy (anonymous):

Yea, it is... @Luigi0210 how did u get it??

OpenStudy (luigi0210):

I've done so much factoring that's just second nature to me.. finding an explanation is the hardest part xD

OpenStudy (luigi0210):

But what I did was just look at the end, the +1. Which led to two possibilities, it could either have +1's or -1's. The -8a confirmed that it was -1's, because if you add the +1's, then it will give you a positive number, right? So last I just thought about what number multiplies to 16 and add's to 8, which was 4.

OpenStudy (anonymous):

k thxs

OpenStudy (luigi0210):

Yup!

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