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# 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)

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)

• 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