Q1:Polynomials

• Polynomial


  An expression formed by adding or subtracting terms, each of which is a product of a constant and one or more variables raised to non-negative integer powers
• Components of a polynomial

  • Variable (x)
  • Degree (n)
  • Coefficients (a_i)
• Polynomial

  • Degree: Highest power of the variable
  • Leading Coefficient: Coefficient of the term with the highest power of the variable
  • Constant Term: Term with no variable
• Types of polynomials

  • Monomial (a polynomial with one term) (e.g 3x'2)
  • Binomial (a polynomial with two term) (e.g 2x'3-5)
  • Trinomial
• Operations with polynomials

  1. Addition and Subtraction: Combining like terms

  2. Multiplication: Using the distributive property

  3. Division: Long division or synthetic division
• Linear polynomial


  • 2x + 5
• Quadratic polynomial


  • 3x^2 - 2x + 1
• Cubic polynomial


  • x^3 + 4x^2 - 7x + 2