SS2 First Term Further Mathematics Lesson Note – Polynomials II

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WEEK TWO

TOPIC: POLYNOMIALS 2

SUB-TOPICS:

• Roots of cubic equation: Sum of roots; Sum of products of two Roots; Products of roots.
• Graphs of polynomial function.

SUB-TOPIC 1

The general cubic equation takes the form: (NOTE: Many are not displayable here because of powers, subscript and superscript, download the file for complete document)

By comparing coefficients of equations (2) and (4)

1. The sum of roots
2. The sum of product of roots
3. The product of roots

Example 1:

The roots of a cubic equation  are such

Solution:

The three ways of obtaining

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