(a) Determine if the upper bound theorem identifies 5 as an upper bound for the real zeros of f(x). (b) Determine if the lower bound theorem identifies -5 as a lower bound for the real zeros of f(x). f(x) = 3x^4 + 17x^3 + 2x^2 + 7x + 28
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According to the theorem, if a polynomial f(x) has all positive coefficients and a positive constant term, then any upper bound for the real zeros of f(x) is the absolute value of the ratio of the absolute value of the constant term to the leading coefficient. Show more…
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a. Determine if the upper bound theorem identifies the given number as an upper bound for the real zeros of $f(x)$. b. Determine if the lower bound theorem identifies the given number as a lower bound for the real zeros of $f(x)$. $f(x)=x^{5}+6 x^{4}+5 x^{2}+x-3$ a. 2 b. -5
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(a) Determine if the upper bound theorem identifies 5 as an upper bound for the real zeros of f(x). (b) Determine if the lower bound theorem identifies -4 as a lower bound for the real zeros of f(x).
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