# Degree Of Polynomials

The highest power of the variable in a polynomial is known as the

For example, the degree of the polynomial

**degree**of the polynomial.For example, the degree of the polynomial

**4x7 – 2x6 + x + c**is 7 and the degree of the polynomial**7y6 – 3y2 – 4**is 6.
POLYNOMIALS OF DIFFERENT DEGREES:

LINEAR POLYNOMIAL:

A polynomial whose degree is 1 is named as a

p(x) = 3x + 2

q(x) = 4y

r(z) = z + √2

s(t) = 5 – t

**linear polynomial**. Any linear polynomial is of the form**ax + b**, where**x**is a variable and**a, b**are constants. Also**a ≠ 0**(because if**a = 0**, then the polynomial will become**0 + b = b**which is a constant polynomial of**0**degree.)*Examples:*p(x) = 3x + 2

q(x) = 4y

r(z) = z + √2

s(t) = 5 – t

QUADRATIC POLYNOMIAL:

A polynomial with degree 2 is known as a

**quadratic polynomial**. Any quadratic polynomial in one variable x is of the form**ax2 + bx + c**, where**a, b, c**are constants. Also**a ≠ 0**(because if**a = 0**, then the polynomial will become**0 + bx + c = bx + c**which is a linear polynomial of degree 1).*Examples:***4 – x – x2, 3 – x2, 2x + 3x2**etc. are some examples of quadratic polynomials.
CUBIC POLYNOMIAL:

A polynomial whose degree is 3 is termed as a

**cubic polynomial**. Hence any cubic polynomial in one variable**x**is of the form**ax3 + bx2 + cx + d**, where**a, b, c and d**are constants and**a ≠ 0**(because if**a = 0**, then the polynomial will be**0 + bx2 + cx + d = bx2 + cx + d**which is a quadratic polynomial of degree 2).*Examples:***5x3 + x2, x3 + 2x2 + 3x + 5, 2x3, 4 – x3, 3x3 – x**and**4x3 + 3**are a few examples of cubic polynomials.**Online Linear, Quadratic, Cubic Polynomials Help:**

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