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Use the factor theorem and division to factorise f(x) completely (Total for question 1 is 6 marks) 2 g(x) = 4x3 – 8x2 – 35x + 75
The aim of this unit is to assist you in consolidating and developing your knowledge and skills in working with the factor and remainder theorems It
A1 Alternative 1: (factor theorem) M1: Finding that f(–4) = 0 A1: Stating that (x + 4) is a factor M1: Finding third factor (x – 5)(x + 4)(3x ± 2)
4 2 8 - The Factor Theorem 4 2 - Algebra - Solving Equations The Factor Theorem (x - a) is a factor of the polynomial f (x) if and only if f (a) = 0
In this case, The Remainder Theorem tells us the remainder when p(x) is divided by (x - c), namely p(c), is 0, which means (x - c) is a factor of p What we
In this section, we will learn to use the remainder and factor theorems to factorise and to solve polynomials that are of degree higher than 2 Before doing so,
Level 2 Further Maths Factor Theorem Ensure you have: Pencil or pen, a calculator Guidance 1 Read each question carefully before you begin answering it
We used the graph to factor the polynomial The graph gave us the zeros and the zeros gave us the factors Was it obvious that this was going to work? Well not