anonymous
  • anonymous
y^2+13y+30 factored
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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katieb
  • katieb
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anonymous
  • anonymous
Are you just taking answers or do you want to learn the process?
anonymous
  • anonymous
need to know the process somewhat but whatever i can get ill take
anonymous
  • anonymous
Find two numbers that multiply to 30 and add to 13

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anonymous
  • anonymous
6 and 5 23
anonymous
  • anonymous
24
anonymous
  • anonymous
6+5=11. We need it to add to 13
anonymous
  • anonymous
and when you do that you get 24
anonymous
  • anonymous
Try 10 and 3.
anonymous
  • anonymous
10 and 3 add to 13 and multiply to 30
anonymous
  • anonymous
ohhh ok
anonymous
  • anonymous
Gettin the hang of it?
anonymous
  • anonymous
how are you coming up with the stuff in parenthese though
anonymous
  • anonymous
That's how it is factored. The "FOIL" form. (x+3)(x+13) if you FOIL that, you get x^2+13+30
anonymous
  • anonymous
sorry
anonymous
  • anonymous
I meant to put (x+10)(x+3)
anonymous
  • anonymous
but how does that equal to the original equation or whatever
anonymous
  • anonymous
X*X=X^2 X*3=3x X*10=10x 3*10=30 Combine like terms.
anonymous
  • anonymous
but x and 3 arent alike and neither is x and 10??
anonymous
  • anonymous
3x and 10x are.
anonymous
  • anonymous
yeah but how can you combine 3 and x if they arent alike terms
anonymous
  • anonymous
You're not combining. You're multiplying. After you multiply, you combine.
anonymous
  • anonymous
so if i have d^2-7d+10 the final answer woud be (d+2)(d-5)?
anonymous
  • anonymous
Almost! (d-2)(d-5)
anonymous
  • anonymous
ohhh
anonymous
  • anonymous
Do you see why?
anonymous
  • anonymous
cause its minus 7 and 7 is the middle term in the equation thing
anonymous
  • anonymous
Yes. And you need a negative * negative to equal a positive.
anonymous
  • anonymous
ohh can you help me with some more?
anonymous
  • anonymous
Sure
anonymous
  • anonymous
g^2-19g+60
anonymous
  • anonymous
only thing i can think of for 60 is 20*3 and 10*6 and 60*1
anonymous
  • anonymous
How about -15 and -4?
anonymous
  • anonymous
but i didnt think you coud use negatives when factoring equations
anonymous
  • anonymous
Yup you can. You'll need to for equations like this.
anonymous
  • anonymous
oh so it would be (g+15)(g+4)?
anonymous
  • anonymous
That's the only way to get your -19g
anonymous
  • anonymous
Nope. Use -15 and -4
anonymous
  • anonymous
15+4=19 not -19
anonymous
  • anonymous
(g-15)(g-4)
anonymous
  • anonymous
Perfect!
anonymous
  • anonymous
b^2+b-20 how would you do this cause theres only a variable for the middle term and not a number or whatever
anonymous
  • anonymous
Same exact way. What 2 numbers add up to 1 and multiply to -20?
anonymous
  • anonymous
-1 and 1
anonymous
  • anonymous
-1 and 20
anonymous
  • anonymous
-1 and 20 don't add to 1.
anonymous
  • anonymous
Think of another combination
anonymous
  • anonymous
i don know cause thats all i can thing of that would multiply to 20 other than 10*2 4*5
anonymous
  • anonymous
-4 and 5
anonymous
  • anonymous
Lets use 4 and 5. How do we get 1 by adding 4 and 5? Which one has to be negative?
anonymous
  • anonymous
Good!
anonymous
  • anonymous
so then its (b-4)(b+5)
anonymous
  • anonymous
Awesome job. You got it.
anonymous
  • anonymous
ok and i need help with solving equations like b^2+20b+36=0
anonymous
  • anonymous
Okay. We can use either 36*1, 18*2, 12*3, 9*4, or 6*6. Which one looks best?
anonymous
  • anonymous
6*6
anonymous
  • anonymous
it needs to add up to 20
anonymous
  • anonymous
18*2
anonymous
  • anonymous
Good
anonymous
  • anonymous
so then what??
anonymous
  • anonymous
sorry my internet crashed
anonymous
  • anonymous
Consider what you've been doing. Take 18 and 2 and plug them in. (X*18)(X*2)
anonymous
  • anonymous
so its (x*18)(x*2)?
anonymous
  • anonymous
lol sorry. (x+18)(X+2)
anonymous
  • anonymous
Good catch on my mistake!
anonymous
  • anonymous
d^2+2d-8=0
anonymous
  • anonymous
-2*4
anonymous
  • anonymous
Yup that's it.
anonymous
  • anonymous
(d-2)(d+4)
anonymous
  • anonymous
Very nice. Do you think you got it now?
anonymous
  • anonymous
yeah i think possibly for now
anonymous
  • anonymous
Keep working at it. I think you're picking it up well.
anonymous
  • anonymous
well i have one here to factor that has 2 different variables x^2-13xy+36y^2
anonymous
  • anonymous
Ok. Lets start simple and think of 2 numbers that add to -13 and multiply to 36.
anonymous
  • anonymous
-5*8
anonymous
  • anonymous
Doesn't multiply to 36
anonymous
  • anonymous
Or add to -13
anonymous
  • anonymous
36*1 12*3 6*6 is all i can think of
anonymous
  • anonymous
This one is tricky. I'll give you the answer and you can try the next on your own. (x-9y)(x-4y)
anonymous
  • anonymous
I have to run. Good luck shania. I hope I was helpful.
anonymous
  • anonymous
ok thanks

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