Unit 1 · 5 lessons
Polynomial Functions
How degree, leading coefficient and factors control the shape of a polynomial graph — and how the factor theorem lets you factor, solve and sign-chart any polynomial you meet.
- 51 practice questions
- 40 flashcards
- 2 interactive lessons
Lessons
- 1Polynomial Functions and Their ShapesWhat makes a function a polynomial, how degree and leading coefficient decide its end behaviour and turning points, and how constant finite differences reveal the degree.10 questions
- 2Zeros, Multiplicity and SketchingReading zeros and their multiplicities straight off the factored form, sketching the curve from those factors, and reversing the process to write an equation from a graph.Interactive10 questions
- 3The Remainder and Factor TheoremsDividing polynomials, using the remainder and factor theorems to find factors quickly, and fully factoring cubics and quartics to solve polynomial equations.10 questions
- 4Families of Polynomials and Polynomial ModelsPolynomials that share the same zeros form a family ; one extra point picks out the member you want. Symmetry tests, and real models such as an open box or a revenue curve, put the whole unit to work.Interactive11 questions
- 5Polynomial InequalitiesSolving polynomial inequalities with a factored sign chart, handling multiplicity correctly, and writing the answer in interval notation.10 questions