Polynomials

• Polynomial

  • An algebraic expression, in which the variables involved have only whole number powers, is called a polynomial.
  • ->Polynomials of degrees 1, 2 and 3 are called linear, quadratic and cubic polynomials respectively.
  • ->Polynomials containing one, two and three non-zero terms are called monomial, binomial and trinomial respectively.
• A polynomial is an expression containing more than one term and has both variable and constant having different powers of the same variable. (?)

  -> Variable - can have multiple values. {e.g - x, y, z, a...}

  -> Constant - has a fixed value. {e.g - 2, 32, 14, 7...}
• Not Polynomials

  Non-whole number powers are NOT Polynomials...

  
• Types of Polynomial

  
• Types of Polynomial

  Degree of a zero polynomial is indefinite.

  
• Types of Polynomial

  A monomial is separated by the operations (+, -, x etc...)

  and cannot be simplified further...

  
• Types of Polynomial

  
• Types of Polynomial

  
• Degree of Polynomial

  e.g- 6x3+4x2+3x+1

  -> The highest degree in the polynomial given above is '3'.

  
• Degree of Polynomial

  -> Polynomials with degree 1 - Linear Polynomials

  -> Polynomials with degree 2 - Quadratic Polynomials

  -> Polynomials with degree 3 - Cubic Polynomials
• Polynomial

  
• Middle-Term Splitting Que

  (V.Important)

  
• ALGEBRAIC IDENTITIES

  
• ALGEBRAIC IDENTITIES

  
• ALGEBRAIC IDENTITIES

  
• ALGEBRAIC IDENTITIES

  
• ALGEBRAIC IDENTITIES

  
• ALGEBRAIC IDENTITIES

  
• ALGEBRAIC IDENTITIES: The set of identities that are true for all values of the variables.