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

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

Find two numbers that multiply to 30 and add to 13

6 and 5
23

24

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

and when you do that you get 24

Try 10 and 3.

10 and 3 add to 13 and multiply to 30

ohhh ok

Gettin the hang of it?

how are you coming up with the stuff in parenthese though

That's how it is factored. The "FOIL" form.
(x+3)(x+13) if you FOIL that, you get x^2+13+30

sorry

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

but how does that equal to the original equation or whatever

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

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

3x and 10x are.

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

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

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

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

ohhh

Do you see why?

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

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

ohh can you help me with some more?

Sure

g^2-19g+60

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

How about -15 and -4?

but i didnt think you coud use negatives when factoring equations

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

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

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

Nope. Use -15 and -4

15+4=19 not -19

(g-15)(g-4)

Perfect!

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

-1 and 1

-1 and 20

-1 and 20 don't add to 1.

Think of another combination

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

-4 and 5

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

Good!

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

Awesome job. You got it.

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

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

6*6

it needs to add up to 20

18*2

Good

so then what??

sorry my internet crashed

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

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

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

Good catch on my mistake!

d^2+2d-8=0

-2*4

Yup that's it.

(d-2)(d+4)

Very nice. Do you think you got it now?

yeah i think possibly for now

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

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

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

-5*8

Doesn't multiply to 36

Or add to -13

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

This one is tricky. I'll give you the answer and you can try the next on your own.
(x-9y)(x-4y)

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

ok thanks