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  Mathematics (NTSE/Olympiad)  

Polynomial

Polynomial in One Variable

If a polynomial has only one variable then it is called polynomial in one variable. Some of the examples are as follows  

P(x) = 2x3 + 5x – 3 is a polynomial of degree 3 and also known as a Cubic trinomial.

Q(x) = 7x7 – 5x5 – 3x3 + x + 3 polynomial of degree 7.

R(y) = y is a polynomial of degree 1 (one) and also known as a Linear polynomial or a Linear equation.

S(t) = t2 + 3 polynomial of degree 2 (Quadratic Binomial)

Please Note :

General form of a polynomial in one variable x of degree n is anxn + an–1xn–1 + an–2xn–2 + ......+ a2x2 + a1x + a0, an ≠ 0, where an, an–1,… a2, a1, a0 are all are constants.

For a linear equation :  ax + b, a ≠ 0 
For a quadratic eqaution :  ax2 + bx + c, a ≠ 0
For cubic equation ax3 + bx2 + cx + d, a ≠ 0


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NTSE Mathematics (Class X)

  • Trigonometry
  • Similar Triangles
  • Statistics
  • Quadratic Equation
  • Arithmetic Progressions
  • Application of Trigonometry
  • Circle
  • Co-ordinate Geometry
  • Area related to Circle
  • Surface Area & Volume
  • Constructions
  • Probability

NTSE Mathematics (Class IX)

  • Trigonometry
  • Similar Triangles
  • Statistics
  • Quadratic Equation
  • Arithmetic Progressions
  • Application of Trigonometry
  • Circle
  • Co-ordinate Geometry
  • Area related to Circle
  • Surface Area & Volume
  • Constructions
  • Probability

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