 # Factorising Cubics using the Factor Theorem

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How to solve a cubic equation using the factor theorem?
The factor theorem states that
If f(x) is a polynomial and f(p) = 0 then x - p is a factor of f(x)

How to solve a cubic equation : ExamSolutions
How to solve a cubic equation using the factor theorem?
Example:
Solve the equation 2x3 - 5x2 - 10 = 23x
How to factorise a cubic polynomial (Version 1) : ExamSolutions
This tutorial shows you how to factorise a given cubic polynomial by using the factor theorem and algebraic long division.
Example:
Factorise 2x3 - 3x2 - 11x + 6
How to factorise a cubic polynomial (Version 2) : ExamSolutions
How to factorise a given cubic polynomial by using the factor theorem and by comparing coefficients?
Example:
Factorise 2x3 - 3x2 - 11x + 6
Remainder Theorem and Solving a Cubic Equation: C2 Edexcel June 2010 Q2
Example:
f(x) = 3x3 - 5x2 - 58x + 40
(a) Find the remainder when f(x) is divided by (x - 3).
Given that (x - 5) is a factor of f(x).
(b) find all the solutions of f(x) = 0.

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