A Level Further Maths Revision
A Level Further Maths
For Students Studying AL Further Maths
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Gain Access to all AJMaths A Level Further Maths Revision Videos
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Gain Access to all AJMaths A Level Further Maths Worksheets
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Gain Access to all AJMaths A Level Further Maths Mock Papers
Edexcel A Level Further Mathematics - Core Pure
Roots of a Polynomial
Roots of polynomials in Core Pure refer to the values of x that satisfy equations ranging from simple quadratics to more complex cubic and quartic expressions, each offering up to as many roots as their degree. These roots may be real or complex, with higher-degree polynomials often producing conjugate pairs, and their behaviour revealing key structural features of the polynomial. Linear transformations of roots allow us to map solutions from one polynomial to another, giving powerful tools for manipulating equations by scaling or translating their roots.
After watching the AJMaths revision videos on Roots of Polynomials I will be able to:
- Find the Roots of a Quadratic Equation
- Find the Roots of a Cubic Equation
- Find the Roots of a Quartic Equation
- Expressions Involving the Roots of a Polynomial
- Linear Transformations of Roots
- Answer Exam Questions on Roots of Polynomials for A Level Further Maths
Roots of a Quadratic Equation
In this video we will investigate the properties related to the roots of a quadratic equation.
Roots of a Cubic Equation
In this video we will investigate the properties related to the roots of a cubic equation.
Roots of a Quartic Equation
In this video we will investigate the properties related to the roots of a quartic equation.
Expressions Involving the Roots of a Polynomial
In this video we will take a look at the expressions related to the roots of a polynomial for quadratic, cubic and quartic equations.
Linear Transformations of Roots
In this video we will take a look at linear transformations of roots.
Exam Revision for Roots of Polynomials
In this video we will answer exam style questions on Roots of Polynomials.
Worksheets for Roots of Polynomials
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