anonymous
  • anonymous
Factor 2x4 - 20x2 - 78. 2(x2- 3)(x2- 13) ***** 2(x2+ 3)(x2- 13) 2(x2- 3)(x2+ 13) I think is right ****
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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jamiebookeater
  • jamiebookeater
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anonymous
  • anonymous
help me @FibonacciChick666
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
  • anonymous
I did that's y I asked if its right

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FibonacciChick666
  • FibonacciChick666
alrighty good, I'm working on it right now
anonymous
  • anonymous
okay lol
FibonacciChick666
  • FibonacciChick666
ok so only one of your answers is correct. let's go through the process together.
rosedewittbukater
  • 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
  • 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
  • anonymous
x2
anonymous
  • anonymous
okay I need help again
FibonacciChick666
  • FibonacciChick666
ok, does the term (-78) contain an \[x ^{2}\]
anonymous
  • anonymous
idk
rosedewittbukater
  • 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
  • anonymous
will u help me in another problem @rosedewittbukater
FibonacciChick666
  • FibonacciChick666
let's try a different approach. can you divide -78 by x^2 without leaving a remainder?
anonymous
  • anonymous
yes
rosedewittbukater
  • rosedewittbukater
Sure
anonymous
  • anonymous
okay I posted it already
FibonacciChick666
  • FibonacciChick666
ok so what is -78 divided by x^2 ?
rosedewittbukater
  • rosedewittbukater
Where did you post it
anonymous
  • anonymous
is it -39
anonymous
  • anonymous
on open questions
FibonacciChick666
  • FibonacciChick666
-39 is -78 divided by only 2 but think about the other terms listed do they also divide by 2?
anonymous
  • anonymous
idk
rosedewittbukater
  • 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
  • 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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