How to find that the zeroes of the polynomial are positive or negative?
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Find zeros of a polynomial function
Use the Rational Zero Theorem to list all possible rational zeros of the function.
Use synthetic division to evaluate a given possible zero by synthetically dividing the candidate into the polynomial. ...
Repeat step two using the quotient found with synthetic division. ...
Find the zeros of the quadratic function.
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If the degree of a polynomial f(x) is even and the leading coefficient is positive, then f(x) → ∞ as x → ±∞. If f(x) is an even degree polynomial with negative leading coefficient, then f(x) → -∞ as x →±∞.
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