Positive and negative intervals of polynomials | Polynomial graphs | Algebra 2 | Khan Academy
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https://www.khanacademy.org/math/algebra2/x2ec2f6f830c9fb89:poly-graphs/x2ec2f6f830c9fb89:poly-intervals/e/positive-and-negative-intervals-of-polynomials
If we know all the zeros of a polynomial, then we can determine the intervals over which the polynomial is positive and negative. This is because the polynomial has the same sign between consecutive zeros. So all we need to do is check is interval that is between two consecutive zeros (or before the smallest zero and after the largest zero).
View more lessons or practice this subject at https://www.khanacademy.org/v/polynomial-intervals
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