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Factoring Cubics using the Factor Theorem

Related Topics:
A Level Maths
Math Worksheets



Examples, videos, activities, solutions, and worksheets that are suitable for A Level Maths to learn how to factor cubics using the Factor Theorem.

A cubic polynomial has the form ax3 + bx2 + cx + d where a ≠ 0.
A cubic equation has the form ax3 + bx2 + cx + d = 0.

Factor Theorem
if f(a) = 0 then (x - a) is a factor of the polynomial f(x).

Solving Cubic Equations using the Factor theorem and Long Division
A Level (C2) Finding the roots of a cubic function
Use the factor theorem to find the roots of a cubic function. Also consider long division of a polynomial. It is helpful to use completing the square when a quadratic function will not factorise.



AS & A Level Maths No.14 Algebra 10 - Factor Theorem
The factor theorem. Factorising a cubic with the factor theorem.

Rotate to landscape screen format on a mobile phone or small tablet to use the Mathway widget, a free math problem solver that answers your questions with step-by-step explanations.


You can use the free Mathway calculator and problem solver below to practice Algebra or other math topics. Try the given examples, or type in your own problem and check your answer with the step-by-step explanations.


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