y^2+13y+30 factored

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y^2+13y+30 factored

Mathematics
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At vero eos et accusamus et iusto odio dignissimos ducimus qui blanditiis praesentium voluptatum deleniti atque corrupti quos dolores et quas molestias excepturi sint occaecati cupiditate non provident, similique sunt in culpa qui officia deserunt mollitia animi, id est laborum et dolorum fuga. Et harum quidem rerum facilis est et expedita distinctio. Nam libero tempore, cum soluta nobis est eligendi optio cumque nihil impedit quo minus id quod maxime placeat facere possimus, omnis voluptas assumenda est, omnis dolor repellendus. Itaque earum rerum hic tenetur a sapiente delectus, ut aut reiciendis voluptatibus maiores alias consequatur aut perferendis doloribus asperiores repellat.

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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

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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!
b^2+b-20 how would you do this cause theres only a variable for the middle term and not a number or whatever
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

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