anonymous
  • anonymous
Given the binomials (x − 2), (x − 1), (x + 2), and (x − 4), which one is a factor of f(x) = x^3 + 7x^2 + 14x + 8? How do I find the factors?
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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katieb
  • katieb
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anonymous
  • anonymous
Polynomial division is pretty tough to write down and not talk someone through, I suggest you ask your teacher for help on this because it's important that you understand it. Testing whether a binomial is a factor of a polynomial is a lot easier. For (x-2), simply check whether f(2)=0 (i.e. it has no remainder and is a factor). \[f(2)=2^3-7*2^2+14*2=8 \neq0 \]\[f(1)=?\]\[f(-2)=?\]\[f(4)=?\] Does that make sense?
anonymous
  • anonymous
Thank you. I fully understand polynomial division/long division/synthetic division. I just got confused on how am I going to find the solution. Through inputing all numbers one by one or a simpler way. Thanks, I kinda have an idea now.
anonymous
  • anonymous
Oh that's great. If you understand polynomial division, you can just divide the polynomial by each binomial but this way is much faster. The correct answer is -2 just in case you weren't sure. Have a look at remainder theorem, it's exactly what this uses.

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