Polynomials
Work with polynomial expressions: quadratics, division, the remainder and factor theorems.
Problems
- Equal Values of a Composed Quadratic
- Powers of Complex Roots
- Root Gap from a Limit Ratio
- A Quadratic That Touches a Line
- Remainder by a Squared Linear Factor
- A Polynomial Divided by x + 1
- Divisible by x² − 1
- Remainder by a Product of Divisors
- Remainder by (x − 1)³
- Six Conditions on a Degree-5 Polynomial
- A Polynomial Defined by Its Own Derivative
- Derivative of a Ratio of Geometric Sums
- A Quadratic from a Squared Limit
- Derivative Ratio of a Product Polynomial
- A Cubic Through Four Points
- Three Values of a Quadratic
- A Quartic Symmetric About x = 1
- A Self-Referential Polynomial
- A Series of Remainders
- A Polynomial from a Differential Identity
- A Chain of Polynomial Remainders
- A Cubic Bounded by a Line
- A Quartic Through Five Fractions