TASK 2: POLYNOMIALS, FACTORISATION and REMAINDER THEOREMS [2hr]
TASK 2: POLYNOMIALS, FACTORISATION and remainder THEOREMs [2hr]
Factor theorem
[optional] Step 0. Watch the video on this webpage on Factor theorem application to cubics (polynomials of 3rd degree) http://www.mathtutor.ac.uk/algebra/cubicequations/video
Step 1. Go through Mathematics B workbook - Chapter 2: Section 2.5 and attempt Worked Examples 2.12 and 2.13.
Step 2. Polynomial division
Watch this video:
And go through Mathematics B workbook - Chapter 2: Section 2.6 and attempt all the Worked Examples from Mathematics B workbook - Chapter 2: Sections 2.6. until page 37 yourself.
Step 3. Remainder theorem
Watch the video:
And go through Mathematics B workbook - Chapter 2: Section 2.6 and attempt all the Worked Examples from Mathematics B workbook - Chapter 2: Sections 2.6. from page 37 onwards.
Step 4. Check the solutions in Mathematics B workbook - Chapter 2 solutions, Sections 2.5 - 2.6.
Step 5. You can find more information in [J. Olive Survival guide, Chapter 2, Section 2E] or [Bostock,Chandler Core Maths, Chapter 1, Ex 1J,K,L,M; Chapter 3 (p38) Ex 3F; Chapter 30 (p369-371) Ex 30 G].
Links to extra practice:
What are polynomials? - very basic introduction but useful if you have never heard of polynomials.
Factor Theorem on example of Cubic Equations
Here you can: Watch VIDEO tutorial, read TEXT, take DIAGNOSTIC TEST and do some extra EXERCISES - all available under this link.
Polynomial Division - short explanation
Polynomial Division - longer explanation + many examples
Here you can: Watch VIDEO tutorial, read TEXT, take DIAGNOSTIC TEST and do some extra EXERCISES - all available under this link.
Remainder theorem and Factor theorem (scroll on the way to Questions and solve them yourself!)
