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# Polynomial

#### Types of polynomial

(A) Types of a Polynomials as Based on degree:

If degree of polynomial is

 Examples of Polynomials 1 One Linear x+3, y–x+2, √5x–3 etc... 2 Two Quadratic x2–7, 2x2+y2, –5x2+7+9y+z etc... 3 Three Cubic x3+3x2–7x+8, 2x2+5x3+7 etc... 4 Four Bi-Quadratic x4+y4+2x2y2, x4+3z–9, etc ...

(B) Types of a Polynomials as Based on Terms:

If degree of polynomial is

 Examples of Polynomials 1 One Monomial 7x, x9, –3z2, xyz etc... 2 Two Bionomial x2–7y2, y8+ y19, –5x2+9y etc... 3 Three Trinomial x3+3y2–7z2, 2x2+5x3+7 etc...

Important Note:

• Degree of constant polynomials (Example: 5, 7, –3, 8/5, …) is zero.
• Degree of zero polynomial (zero = 0 = zero polynomial) is not defined.

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#### NTSE Mathematics (Class X)

• Real Numbers
• Polynomials
• Linear Equation in Two Variables
• Trigonometry
• Similar Triangles
• Statistics
• Arithmetic Progressions
• Application of Trigonometry
• Circle
• Co-ordinate Geometry
• Area related to Circle
• Surface Area & Volume
• Constructions
• Probability

#### NTSE Mathematics (Class IX)

• Real Numbers
• Polynomials
• Linear Equation in Two Variables
• Trigonometry
• Similar Triangles
• Statistics