Can someone please explain and show me how to do these please. 1.) x^2 – 8x + 15
2.) a^2 – a – 20
3.)a^2 – 5a – 20
4.)a^2 + 12ab + 27b^2
5.)2a^2 + 30a + 100
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OpenStudy (anonymous):
Instructions say --> Factor each trinomial below. Please show your work
OpenStudy (anonymous):
x^2-8x+15=0
(x-3)(x-5)
OpenStudy (anonymous):
for ex for this one think about two numbers which their multiple product be 15 and their product of sum be -8
OpenStudy (anonymous):
we know that 3*5 is 15
and we check if the some of them is -8 or not ?
5+3=8
but with a little experience we guess -3+-5=-8
OpenStudy (anonymous):
I see.
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OpenStudy (anonymous):
20=10*2
10*2=8
10-2=8
20=5*4
5+4=9
5-4=1
4-5=-1
so can u find out the factors ?
OpenStudy (anonymous):
10 and 5
OpenStudy (anonymous):
u mean (a-10)(a-5) ?
OpenStudy (anonymous):
Wait, which one are we on?
OpenStudy (anonymous):
The second one?
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OpenStudy (anonymous):
second
OpenStudy (anonymous):
I'd say the factors would be -10 and -5.
OpenStudy (anonymous):
look at what i wrote before .
4-5=-1
4*-5=-20
OpenStudy (anonymous):
(a-1) (a-10)
OpenStudy (anonymous):
not -10 I meant a-1 * a-20
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OpenStudy (anonymous):
a^2-11a+10 is it ur equation ?
OpenStudy (anonymous):
a^2-21a+20 is it ur equation
OpenStudy (anonymous):
So confusing. :/
OpenStudy (anonymous):
don't be confuse it's need just practice .
look at what i done
OpenStudy (anonymous):
for second one as i wrote before the answer is :
a-5*a+4
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OpenStudy (anonymous):
ok..
OpenStudy (anonymous):
i think the third one is not correct but let's check forth one :
OpenStudy (anonymous):
The question for #2 is, a^2 – a – 20. So, I have to find the product of -a and the sum of -20, right?
OpenStudy (anonymous):
All those up top are questions, I have to factor all of them.
OpenStudy (anonymous):
u know (a+b)^2= a^2+2ab+b^2
can u guess what we should put in my equation instead b ?
because u see that first term didn't change
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OpenStudy (anonymous):
ok i solve num 3 as well but first the easier
OpenStudy (anonymous):
Let's do #2, again.
OpenStudy (anonymous):
a^2 – a – 20
OpenStudy (anonymous):
ok
OpenStudy (anonymous):
What would I do first?
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OpenStudy (anonymous):
for factories as i remember we have some ways can u tell me the ways ?
OpenStudy (anonymous):
Find the product of one and the sum of another.
OpenStudy (anonymous):
plz tell me all the method
OpenStudy (anonymous):
I don't know..
OpenStudy (anonymous):
one is (x+b)(x+a)=x^2+(a+b)+ab
that's what u mentioned .
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OpenStudy (anonymous):
fortunately we can solve #2 with this :
so look at 20
tell me product of which numbers make 20?
OpenStudy (anonymous):
10*2
OpenStudy (anonymous):
and 1- - 2 = 8
OpenStudy (anonymous):
10 - 2 = 8
OpenStudy (anonymous):
so 10 and 8?
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OpenStudy (anonymous):
look at our formula
coefficient of x is equal to sum of the numbers , am i correct ?
OpenStudy (anonymous):
Yse.
OpenStudy (anonymous):
ok now tell me is the sum of 10 and 2 equal to -1 ?
OpenStudy (anonymous):
10 + 2 = 12. 12 + (-13) = -1
OpenStudy (anonymous):
dear now what's ur number ?
check them
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OpenStudy (anonymous):
The sum of 10 and 2 is 12, right?
OpenStudy (anonymous):
yes
OpenStudy (anonymous):
Okay, so the sum of 10 and 2 isn't -1.
OpenStudy (anonymous):
....
OpenStudy (anonymous):
dear don't be confuse . may i know what's ur grade ? high school ?
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OpenStudy (anonymous):
9th.
OpenStudy (anonymous):
where r u from ?
OpenStudy (anonymous):
I just need to complete these 5 questions for my assignment or I get kicked out of my class. I'm from USA.
OpenStudy (anonymous):
dear i'm here till tomorrow morning and i'll help u .
u r just 16 years old . never mind dear no one kick u out
OpenStudy (anonymous):
lets learn it again with each other ok ?
ready ?
fasten ur seat belt
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OpenStudy (anonymous):
I'm 17. I've failed Algebra 3 times. I just don't understand it. I'd be graduated by now if it wasn't for Algebra.
OpenStudy (anonymous):
u r a genius . may i know ur name ?
OpenStudy (anonymous):
Possibly. What's yours?
OpenStudy (anonymous):
dear algebra is sweet if u touch it and guess it .
OpenStudy (anonymous):
my name is roya . i'm iranian and i'm 21 . i'm electrical engineering student and mu=y name means dream . any thing else ? i'm a girl
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OpenStudy (anonymous):
Ha. I'm a boy, 17 the name is Dylan and I'm from Florida.
OpenStudy (anonymous):
ok are u ready ?
OpenStudy (anonymous):
My name is Careless because eeveryone calls me that and I don't care about anything but computers and programming and processing. Yes, I'm ready. Let's start with #2... again. please.
OpenStudy (anonymous):
dear look at # 2 . and compare it with our formula
a^2-a-20
OpenStudy (anonymous):
our formula for this one is
x^2+(a+b)x+ab
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OpenStudy (anonymous):
ok..
OpenStudy (anonymous):
so we should find 2 numbers which their mlt = -20 and their sum = -1
ok ?
OpenStudy (anonymous):
mlt=multiple
OpenStudy (anonymous):
ok.
OpenStudy (anonymous):
so tell me the numbers which their mlt = -20
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OpenStudy (anonymous):
-10 * 2
OpenStudy (anonymous):
can u tell me their sum ?
OpenStudy (anonymous):
sum of...?
OpenStudy (anonymous):
-10 + 2?
OpenStudy (anonymous):
as u and me know their sum is 10-2 =8
ok ?
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OpenStudy (anonymous):
or as u wrote -10+2=-8
OpenStudy (anonymous):
ok..
OpenStudy (anonymous):
none of them are equal to -1 . am i right ?
OpenStudy (anonymous):
Right.
OpenStudy (anonymous):
so let's try another numbers . tell me two other number's which mlt=-20
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OpenStudy (anonymous):
-5*4
OpenStudy (anonymous):
ok and tell me the sum
OpenStudy (anonymous):
-5 + 4 = -1///
OpenStudy (anonymous):
(x-5) (x+4) .... ^_^
OpenStudy (anonymous):
so u find two numbers which mlt=-20 and sum = -1
so put them in our formula
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OpenStudy (anonymous):
such a genius boy . u should proud of urself .
OpenStudy (anonymous):
know multiple two terms to check ur answer .
OpenStudy (anonymous):
So, I got it right?
OpenStudy (anonymous):
ok i give u another ex and plz solve it for me .
OpenStudy (anonymous):
x^2+5x+6
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