- Mathematics Advanced
- Year 11
The Quadratic Polynomial
approx. 7 hrs
4 topics
18 concepts
Develop an aptitude for The Quadratic Polynomial and advance into Year 12 with confidence.
approx. 7 hrs
4 topics
18 concepts
Develop an aptitude for The Quadratic Polynomial and advance into Year 12 with confidence.
The Quadratic Polynomial is an essential part of the Year 11 Mathematics Advanced course. In this program, we help students select algebraic techniques and solve quadratic functions, find the roots of a polynomial, and determine other key properties of quadratic functions relating these to the parabolic curve.
This learning program is made up of the following 4 topics, broken down into 18 concepts.
Select the appropriate factorising method to solve a given quadratic equation
Sketching the quadratic function from the quadratic formula
Sketching the quadratic function from the completed square
Identify and use features of parabolas and their equations to assist in sketching quadratic relationships
Identify the x and y intercepts of a parabola
Find the vertex of a parabola
Determine concavity of a parabola
Find the axis of symmetry of a parabola
Positive definite expressions defined by the discriminant
Negative definite expressions defined by the discriminant
Indefinite expressions defined by the discriminant
Evaluate the discriminant to determine the number of real solutions of a quadratic equation
Solve inequations with a variable in the denominator and graph the solution
Solve quadratic inequations and graph the solution
The identity of two quadratic expressions
Sum and product of roots of a quadratic function
Equations reducible to quadratics
Using the discriminant to determine the number of intersecting points of two graphs
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