y^2+13y+30
factored

- anonymous

y^2+13y+30
factored

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- anonymous

Are you just taking answers or do you want to learn the process?

- anonymous

need to know the process somewhat but whatever i can get ill take

- anonymous

Find two numbers that multiply to 30 and add to 13

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## More answers

- anonymous

6 and 5
23

- anonymous

24

- anonymous

6+5=11. We need it to add to 13

- anonymous

and when you do that you get 24

- anonymous

Try 10 and 3.

- anonymous

10 and 3 add to 13 and multiply to 30

- anonymous

ohhh ok

- anonymous

Gettin the hang of it?

- anonymous

how are you coming up with the stuff in parenthese though

- 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

sorry

- anonymous

I meant to put (x+10)(x+3)

- anonymous

but how does that equal to the original equation or whatever

- anonymous

X*X=X^2
X*3=3x
X*10=10x
3*10=30
Combine like terms.

- anonymous

but x and 3 arent alike and neither is x and 10??

- anonymous

3x and 10x are.

- anonymous

yeah but how can you combine 3 and x if they arent alike terms

- anonymous

You're not combining. You're multiplying. After you multiply, you combine.

- anonymous

so if i have d^2-7d+10 the final answer woud be (d+2)(d-5)?

- anonymous

Almost! (d-2)(d-5)

- anonymous

ohhh

- anonymous

Do you see why?

- anonymous

cause its minus 7 and 7 is the middle term in the equation thing

- anonymous

Yes. And you need a negative * negative to equal a positive.

- anonymous

ohh can you help me with some more?

- anonymous

Sure

- anonymous

g^2-19g+60

- anonymous

only thing i can think of for 60 is 20*3 and 10*6 and 60*1

- anonymous

How about -15 and -4?

- anonymous

but i didnt think you coud use negatives when factoring equations

- anonymous

Yup you can. You'll need to for equations like this.

- anonymous

oh so it would be (g+15)(g+4)?

- anonymous

That's the only way to get your -19g

- anonymous

Nope. Use -15 and -4

- anonymous

15+4=19 not -19

- anonymous

(g-15)(g-4)

- anonymous

Perfect!

- 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

Same exact way. What 2 numbers add up to 1 and multiply to -20?

- anonymous

-1 and 1

- anonymous

-1 and 20

- anonymous

-1 and 20 don't add to 1.

- anonymous

Think of another combination

- anonymous

i don know cause thats all i can thing of that would multiply to 20 other than 10*2 4*5

- anonymous

-4 and 5

- anonymous

Lets use 4 and 5. How do we get 1 by adding 4 and 5? Which one has to be negative?

- anonymous

Good!

- anonymous

so then its (b-4)(b+5)

- anonymous

Awesome job. You got it.

- anonymous

ok and i need help with solving equations like
b^2+20b+36=0

- anonymous

Okay. We can use either 36*1, 18*2, 12*3, 9*4, or 6*6. Which one looks best?

- anonymous

6*6

- anonymous

it needs to add up to 20

- anonymous

18*2

- anonymous

Good

- anonymous

so then what??

- anonymous

sorry my internet crashed

- anonymous

Consider what you've been doing. Take 18 and 2 and plug them in. (X*18)(X*2)

- anonymous

so its (x*18)(x*2)?

- anonymous

lol sorry. (x+18)(X+2)

- anonymous

Good catch on my mistake!

- anonymous

d^2+2d-8=0

- anonymous

-2*4

- anonymous

Yup that's it.

- anonymous

(d-2)(d+4)

- anonymous

Very nice. Do you think you got it now?

- anonymous

yeah i think possibly for now

- anonymous

Keep working at it. I think you're picking it up well.

- anonymous

well i have one here to factor that has 2 different variables
x^2-13xy+36y^2

- anonymous

Ok. Lets start simple and think of 2 numbers that add to -13 and multiply to 36.

- anonymous

-5*8

- anonymous

Doesn't multiply to 36

- anonymous

Or add to -13

- anonymous

36*1 12*3 6*6 is all i can think of

- 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

I have to run. Good luck shania. I hope I was helpful.

- anonymous

ok thanks

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