anonymous
  • anonymous
According to the Rational Root Theorem,-2/5 is a potential rational root of which function? f(x) = 4x^4 – 7x^2 + x + 25 f(x) = 9x^4 – 7x^2 + x + 10 f(x) = 10x^4 – 7x^2 + x + 9 f(x) = 25x^4 – 7x^2 + x + 4
Mathematics
jamiebookeater
  • jamiebookeater
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jim_thompson5910
  • jim_thompson5910
The rational root theorem basically says that if you divide the factors of the last term by the factors of the leading coefficient, then you'll get a list of all the potential rational roots For example, let's say we had the polynomial 10x^3 + 4x + 27 The leading coefficient is 10. One factor of 10 is \(\Large {\color{red}{2}}\) The last term is 27. One factor of 27 is \(\Large {\color{blue}{3}}\) So a potential rational root is \[\Large \frac{\color{blue}{\text{factor of last term}}}{\color{red}{\text{factor of first coefficient}}} = \frac{\color{blue}{3}}{\color{red}{2}}\]
jim_thompson5910
  • jim_thompson5910
Hopefully that example makes sense. If not, then let me know.

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