Factor 2x4 - 20x2 - 78.
2(x2- 3)(x2- 13) *****
2(x2+ 3)(x2- 13)
2(x2- 3)(x2+ 13)
I think is right ****

- anonymous

- chestercat

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- anonymous

help me @FibonacciChick666

- FibonacciChick666

I would like you to please first try and check your answer before I try the problem. You are going to do this by using the FOIL method.

- anonymous

I did that's y I asked if its right

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## More answers

- FibonacciChick666

alrighty good, I'm working on it right now

- anonymous

okay lol

- FibonacciChick666

ok so only one of your answers is correct. let's go through the process together.

- rosedewittbukater

First factor out the 2 to get 2(x^4-10x^2-39)
Replace any x^2 value with the variable a, so x^4 becomes a^2 because x^2 squared is x^4. You just do this to take the place of any x^2 s to make it easier, if that makes sense. So 2(a^2-10a-39). Then you can do regular factoring. 3 and -13 multiply to become -39, and 3-13=10. So The equation would become \[2(a+13)(a-3)\] Then change the a's back into x^2. So the answer is \[2(x ^{2}+3)(x ^{2}-13)\] So the answer is the second one.

- FibonacciChick666

So the first thing that we want to do is pull out any like terms. What does each term in the expression have in common?

- anonymous

x2

- anonymous

okay I need help again

- FibonacciChick666

ok, does the term (-78) contain an \[x ^{2}\]

- anonymous

idk

- rosedewittbukater

You can check your work by multiplying the factors back together using either the box method or FOIL. \[2(x ^{4}-13x ^{2}+3x ^{2}-39)\]Combine like terms to get \[2(x ^{4}-10x ^{2}-39)\]Then distribute the 2 \[2x ^{4}-20x ^{2}-78\]You know your answer is correct if it is the same as the original equation.

- anonymous

will u help me in another problem @rosedewittbukater

- FibonacciChick666

let's try a different approach. can you divide -78 by x^2 without leaving a remainder?

- anonymous

yes

- rosedewittbukater

Sure

- anonymous

okay I posted it already

- FibonacciChick666

ok so what is -78 divided by x^2 ?

- rosedewittbukater

Where did you post it

- anonymous

is it -39

- anonymous

on open questions

- FibonacciChick666

-39 is -78 divided by only 2 but think about the other terms listed do they also divide by 2?

- anonymous

idk

- rosedewittbukater

She's trying to ask what number or value can be divided out of every single part of the equation. There's no x^2 in 78 so the only common number that all of the numbers can be divided by is 2.

- FibonacciChick666

let's try a slightly simplified example if you have the equation:
\[2x+2\]
What number is common to both terms?

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