careless850
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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careless850
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@Roya Could you help me?
careless850
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Anyone?
dpaInc
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all of 'em?
Roya
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dear i 'll . u need to find out x and a ?
careless850
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Yes please. Well, yeah. :/
It's factoring trinomials.
careless850
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Instructions say --> Factor each trinomial below. Please show your work
Roya
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x^2-8x+15=0
(x-3)(x-5)
Roya
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for ex for this one think about two numbers which their multiple product be 15 and their product of sum be -8
Roya
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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
careless850
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I see.
Roya
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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 ?
careless850
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10 and 5
Roya
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u mean (a-10)(a-5) ?
careless850
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Wait, which one are we on?
careless850
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The second one?
Roya
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second
careless850
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I'd say the factors would be -10 and -5.
Roya
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look at what i wrote before .
4-5=-1
4*-5=-20
careless850
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(a-1) (a-10)
careless850
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not -10 I meant a-1 * a-20
Roya
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a^2-11a+10 is it ur equation ?
Roya
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a^2-21a+20 is it ur equation
careless850
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So confusing. :/
Roya
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don't be confuse it's need just practice .
look at what i done
Roya
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for second one as i wrote before the answer is :
a-5*a+4
careless850
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ok..
Roya
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i think the third one is not correct but let's check forth one :
careless850
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The question for #2 is, a^2 – a – 20. So, I have to find the product of -a and the sum of -20, right?
careless850
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All those up top are questions, I have to factor all of them.
Roya
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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
Roya
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ok i solve num 3 as well but first the easier
careless850
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Let's do #2, again.
careless850
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a^2 – a – 20
Roya
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ok
careless850
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What would I do first?
Roya
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for factories as i remember we have some ways can u tell me the ways ?
careless850
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Find the product of one and the sum of another.
Roya
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plz tell me all the method
careless850
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I don't know..
Roya
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one is (x+b)(x+a)=x^2+(a+b)+ab
that's what u mentioned .
Roya
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fortunately we can solve #2 with this :
so look at 20
tell me product of which numbers make 20?
careless850
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10*2
careless850
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and 1- - 2 = 8
careless850
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10 - 2 = 8
careless850
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so 10 and 8?
Roya
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look at our formula
coefficient of x is equal to sum of the numbers , am i correct ?
careless850
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Yse.
Roya
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ok now tell me is the sum of 10 and 2 equal to -1 ?
careless850
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10 + 2 = 12. 12 + (-13) = -1
Roya
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dear now what's ur number ?
check them
careless850
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The sum of 10 and 2 is 12, right?
Roya
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yes
careless850
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Okay, so the sum of 10 and 2 isn't -1.
careless850
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....
Roya
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dear don't be confuse . may i know what's ur grade ? high school ?
careless850
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9th.
Roya
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where r u from ?
careless850
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I just need to complete these 5 questions for my assignment or I get kicked out of my class. I'm from USA.
Roya
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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
Roya
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lets learn it again with each other ok ?
ready ?
fasten ur seat belt
careless850
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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.
Roya
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u r a genius . may i know ur name ?
careless850
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Possibly. What's yours?
Roya
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dear algebra is sweet if u touch it and guess it .
Roya
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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
careless850
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Ha. I'm a boy, 17 the name is Dylan and I'm from Florida.
Roya
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ok are u ready ?
careless850
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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.
Roya
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dear look at # 2 . and compare it with our formula
a^2-a-20
Roya
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our formula for this one is
x^2+(a+b)x+ab
careless850
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ok..
Roya
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so we should find 2 numbers which their mlt = -20 and their sum = -1
ok ?
Roya
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mlt=multiple
careless850
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ok.
Roya
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so tell me the numbers which their mlt = -20
careless850
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-10 * 2
Roya
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can u tell me their sum ?
careless850
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sum of...?
careless850
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-10 + 2?
Roya
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as u and me know their sum is 10-2 =8
ok ?
Roya
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or as u wrote -10+2=-8
careless850
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ok..
Roya
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none of them are equal to -1 . am i right ?
careless850
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Right.
Roya
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so let's try another numbers . tell me two other number's which mlt=-20
careless850
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-5*4
Roya
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ok and tell me the sum
careless850
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-5 + 4 = -1///
careless850
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(x-5) (x+4) .... ^_^
Roya
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so u find two numbers which mlt=-20 and sum = -1
so put them in our formula
Roya
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such a genius boy . u should proud of urself .
Roya
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know multiple two terms to check ur answer .
careless850
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So, I got it right?
Roya
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ok i give u another ex and plz solve it for me .
Roya
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x^2+5x+6
careless850
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ok...
careless850
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mlt of 5 and sum of 6.. is....
Roya
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oh oh ! mlt=6 sum=5
careless850
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2.5 * 2 = 5 and 3* 2 = 6...
careless850
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ohhhhhhhhhhhhhhhhhhhhhhhhhhhhhh...
Roya
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note that u can't change the number for sum and mlt
careless850
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3*2 = 6 and 3+2 = 5...
Roya
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fantastic so put them in formula
careless850
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(x+3) (x+2)
Roya
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great job , look at this one :
x^2+11x+18
Roya
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first tell me the mlt and sum :
careless850
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9-2 = 18 and 9+2 = 11. (x+9) (x+2)
careless850
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9*2*
careless850
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9*2 = 18 and 9+2 = 11.
Roya
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9-2 no 9*2 dear
yes u solve it .
careless850
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I get THOSE.. why can't I get M questions...
careless850
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Like this.. a^2 – 5a – 20..
careless850
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sum of 5 and mlt of 20..
careless850
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sum of -5 and -20*
Roya
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it's a bit more difficult
careless850
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Ugh. Sum of -5 and mlt of -20.**
careless850
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How so? What do I have to do now?
careless850
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HEY. I'm going to close this question and open another one. This one is getting laggy.