AS/A Level Mathematics The Factor Theorem and Algebraic Division Instructions Use the factor theorem and division to factorise f(x) completely
4 2 8 - The Factor Theorem Higher Level ONLY The Factor Theorem (x - a) is a factor of the polynomial f (x) if and only if f (a) = 0
(b) Use the factor theorem to show that (x + 3) is a factor of f(x) (2) (c) Factorise f(x) completely (4)
Level 2 Further Maths Factor Theorem Revision for this topic Corbettmaths Use factor theorem to show that (x-1) is a factor of x³-3x² - 13x + 15
Use factor theorem to show that is a factor of (1) 2 Use factor theorem to show that is a factor of (1) 3 Use factor theorem to show that
Note: Some of these questions were designed to be attempted using the Remainder Theorem which is no longer on the A-Level maths specification These question
Factor Theorem Question 1 (a) Show that x(x + 4)(x - 9) = x3 - 5x2 - 36x (1 mark) (b) Write down the x values of the three points where the graph of y
You may have seen the factor theorem if you have been studying the AQA Level 2 Certificate in Further Maths course If not, you will meet it on the A level
International A Level Subject Maths Exam Board CIE Topic Algebra Sub Topic Polynomials – Factor Remainder Theorem Booklet Question Paper 3
C2 Algebra: Remainder Factor Theorems PhysicsAndMathsTutor com Edexcel Internal Review 4 (c) Write down all the solutions to the equation x 3 + 4x
a) Use the factor theorem to find two linear factors of ( ) f x b) Hence show that the equation ( ) 0 f x = has exactly two real roots
Advanced Level in Mathematics series, so they can be applied alongside your You can use the factor theorem to quickly factorise a cubic function, g(x):
Factor Theorem: (x – a) is a factor of a polynomial f(x) if f(a) = 0 Remainder Show that (x – 3) is a factor of and find the other two factors Revision Questions:
How would you add and (and what has happened here at a graphical level)? Give me two polynomials The factor theorem allows us to factorise a polynomial
Use the Factor Theorem to factor a polynomial given the x-intercepts or zeros of the polynomial The prompt can be modified based on the level of the class