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SS2 Further Mathematics

Polynomials

Overview

Define polynomials Divide a polynomial by a polynomial of lesser degree Use remainder theorem Find factor of polynomials Use roots of the cubic equation to solve a problem on cubic equations

What you'll learn
  • Definition of polynomial
  • Division of polynomials by a polynomial of lesser degree
  • Remainder theorem
  • Factorization of polynomial
  • Roots of cubic equation
  • - Sum of roots α+β+δ = -b/a
  • - Sum of products of two roots αβ+αδ+βδ = c/a
  • - Product of roots αβδ = -d/a
  • Where ax3 + bx2 + cx + d = 0