Factoring Cubics using the Factor Theorem

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A Level Maths
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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.

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