Question

y^2+13y+30
factored

Answer 1

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

Answer 2

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

Answer 3

Find two numbers that multiply to 30 and add to 13

Answer 4

6 and 5
23

Answer 5

24

Answer 6

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

Answer 7

and when you do that you get 24

Answer 8

Try 10 and 3.

Answer 9

10 and 3 add to 13 and multiply to 30

Answer 10

ohhh ok

Answer 11

Gettin the hang of it?

Answer 12

how are you coming up with the stuff in parenthese though

Answer 13

That's how it is factored. The "FOIL" form.

(x+3)(x+13) if you FOIL that, you get x^2+13+30

Answer 14

sorry

Answer 15

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

Answer 16

but how does that equal to the original equation or whatever

Answer 17

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

Answer 18

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

Answer 19

3x and 10x are.

Answer 20

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

Answer 21

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

Answer 22

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

Answer 23

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

Answer 24

ohhh

Answer 25

Do you see why?

Answer 26

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

Answer 27

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

Answer 28

ohh can you help me with some more?

Answer 29

Sure

Answer 30

g^2-19g+60

Answer 31

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

Answer 32

How about -15 and -4?

Answer 33

but i didnt think you coud use negatives when factoring equations

Answer 34

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

Answer 35

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

Answer 36

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

Answer 37

Nope. Use -15 and -4

Answer 38

15+4=19 not -19

Answer 39

(g-15)(g-4)

Answer 40

Perfect!

Answer 41

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

Answer 42

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

Answer 43

-1 and 1

Answer 44

-1 and 20

Answer 45

-1 and 20 don't add to 1.

Answer 46

Think of another combination

Answer 47

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

Answer 48

-4 and 5

Answer 49

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

Answer 50

Good!

Answer 51

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

Answer 52

Awesome job. You got it.

Answer 53

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

Answer 54

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

Answer 55

6*6

Answer 56

it needs to add up to 20

Answer 57

18*2

Answer 58

Good

Answer 59

so then what??

Answer 60

sorry my internet crashed

Answer 61

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

Answer 62

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

Answer 63

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

Answer 64

Good catch on my mistake!

Answer 65

d^2+2d-8=0

Answer 66

-2*4

Answer 67

Yup that's it.

Answer 68

(d-2)(d+4)

Answer 69

Very nice. Do you think you got it now?

Answer 70

yeah i think possibly for now

Answer 71

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

Answer 72

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

Answer 73

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

Answer 74

-5*8

Answer 75

Doesn't multiply to 36

Answer 76

Or add to -13

Answer 77

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

Answer 78

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

Answer 79

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

Answer 80

ok thanks