Answer on Algebra Question for Jon
1). find the nulls of polynomial
2). study the sign of the first derivative
3). study the sign of the second derivative
Analyzing this information you'll get the intervals of increase, decrease and concavity of polynomial.
Knowing nulls of polynomial, you'll know where function is positive or negative. From the second step( studying the sign of the first derivative) you can find out what are the intervals of increase and decrease and also critical points(points which can be points of maximum or minimum). From the third step(studying the sign of the second derivative) you'll find intervals of concavity and also turning points.
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