Section 3 - Polynomial functions
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Quadratic functions:
- To be able to factorise quadratics using a variety of methods.
- To be able to complete the square to find turning point form
- To be able to solve quadratic equation (including GQF).
- To be able to use the discriminant to find the number and nature of solutions.
- To be able to sketch the graph of quadratic functions.
- To be able to find and label key features of parabolas with their coordinates.
- To be able to determine the rule of a parabola from given information.
- To be able to determine the degree of a polynomial.
- To be able to find the difference, sum, product of polynomials.
- To be able to equate coefficient of polynomials when equal.
- To be able to use the rational root theorem to find factors.
- To be able to use synthetic or long division to polynomials.
- To be able to fully factorise and hence solve polynomial equations.
- To be able to apply the sum and difference of cubes to factorise.
- To be able to identify key features of a cubic graph based on the factorised form.
- To be able to sketch the graph of a cubic / higher order polynomial from factorised form.
- To be able to find, and label, key features of a polynomial graph.
- To be able to determine if a polynomial is odd or even.
- To be able to select a suitable equation form to use when finding the equation of a graph.
- To be able to solve any resultant simultaneous equations.
- To be able to solve polynomial equations involving pronumerals.
- To be able to solve simultaneous equations to find the point of intersection between graphs.
- To be able to solve inequations by using a suitable graph.
Polynomial functions - Worksheet A
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Polynomial functions - Pretest A:
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