Question

factoring quadratics..

Answer 1

\[5a^2 - 180\]

Answer 2

Hi!

Answer 3

Hello!

Answer 4

Do you have a question? :3

Answer 5

Lol

Answer 6

nvm

Answer 7

Yeah i just posted it above but here it is anyway:
\[5a^2 - 180\]

Answer 8

It didnt appear for a moment. Alright, let us begin!

Answer 9

okay!

Answer 10

Let us first make the equation look clear to us. Let's factor out the 5.

Answer 11

5(a^2 - 36)

Answer 12

Awesome!

Answer 13

What can you say about x^2-36?
Well, we know that there are 2 x's multiplied together. (x )(x )
We need to find the missing numbers.
To find the missing numbers, we need to know the factors of 36 that when added together is zero and multiplied together is 36.

Answer 14

\(a^2-36=a^2+0a+36\)
Correct?

Answer 15

Those two equations are technically the same.

Answer 16

yes

Answer 17

0a means that there's two numbers that got added and were the same
Those two numbers got multiplied and equaled to 36

Answer 18

wait.. i still don't understand that part about 0a

Answer 19

Okay, here's a different way of explaining it
a^2 means x*x
0a means number + number =0
36 means number * number =36

But, those numbers that got added and multiplied together have to be the same two numbers that got added and multiplied.

Answer 20

but what two numbers would lead to that 0

Answer 21

but when multiplied will give me 36

Answer 22

Correct!

Answer 23

ok so what's the next step?

Answer 24

Member, those numbers must equal 36 when multiplied, so it has to be a factor of 36.

Answer 25

Getting those two numbers is the last step

Answer 26

ok...

Answer 27

1, 2, 3, 4, 9, 12, 18, 36

Answer 28

factors of 36