anonymous
  • anonymous
Create a quadratic polynomial function f(x) and a linear binomial in the form (x − a). Part 1. Show all work using long division to divide your polynomial by the binomial. Part 2. Show all work to evaluate f(a) using the function you created. Part 3. Use complete sentences to explain how the remainder theorem is used to determine whether your linear binomial is a factor of your polynomial function
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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schrodinger
  • schrodinger
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anonymous
  • anonymous
What's the polynomial you created?
anonymous
  • anonymous
2x^2 + 4x + 8
anonymous
  • anonymous
and the linear binomial?

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anonymous
  • anonymous
x - 9
anonymous
  • anonymous
Polynomial long division works just like it does with numbers. See the link: http://www.purplemath.com/modules/polydiv2.htm |dw:1433007083246:dw|
anonymous
  • anonymous
To start, divide 2x² by x to get 2x. Then multiply 2x by (x-9) and subtract |dw:1433007178287:dw|
anonymous
  • anonymous
2x + 22
anonymous
  • anonymous
And the remainder was 206. So 2x + 22 + 206/(x-9)
anonymous
  • anonymous
And then to find f(9) just plug in 9 for x into your function and you should get 206 again.
anonymous
  • anonymous
Do you know what the remainder theorem is?
anonymous
  • anonymous
i watched a video on it but I was lost :/
anonymous
  • anonymous
It's basically that if the remainder is 0 when you divide, then the linear binomial is a factor of your polynomial
anonymous
  • anonymous
it wasn't 0 though
anonymous
  • anonymous
Right, so (x - 9) is not a factor of 2x²+4x+8
anonymous
  • anonymous
That would be the answer to 1 correct?
anonymous
  • anonymous
No, that's the answer to all of it, Thank you
Loser66
  • Loser66
????
Loser66
  • Loser66
Wonder why did you made your life so hard like that.!!

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