anonymous
  • anonymous
Show that f(x) = 2x^3 + x^2 + 2 has at least one real zero. Find an interval of length 1/ 4 that contains a zero of f. Please help
Mathematics
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SOLVED
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katieb
  • katieb
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yrelhan4
  • yrelhan4
You know descartes rule of signs?
yrelhan4
  • yrelhan4
@Supenova ?
anonymous
  • anonymous
Basically u can use intermidiate value theorem

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anonymous
  • anonymous
f(x) = 2x3 + x2 + 2 has at least one real zero. Find an interval of length 1/4 that contains a zero of f(x).
anonymous
  • anonymous
@ yrelhan4, no i don't
anonymous
  • anonymous
will find out tho
whpalmer4
  • whpalmer4
The part about at least one real zero is easy: it's a poly with only real coefficients, and an odd order. Complex roots must come in pairs to satisfy the only real coefficients part, and there is an odd number of roots (3) -> must be 1 or 3 real roots.

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