#polynomial note

Polynomials

An expression of the form p(x) = a0+a1x+a2x2+……+anxn, where an is not equal to zero, is called a polynomial in x of degree n.

Some important identity or polynomial for class 10 formulas used in polynomial:

Degree of polynomials

If P(x) is a polynomial in x, the highest power of x in P(x) is called the degree of the polynomial P(x).

Ex: The degree of polynomial P(x) = 2x3 + 5x2 -7 is 3 because the degree of the polynomial is the highest power of polynomial.

Types of Polynomials

Linear polynomial: Polynomial having degree 1 is called a linear polynomial. For example, (4x+7), (3x-4), etc.

Quadratic polynomial: Polynomial having degree 2 is called a quadratic polynomial. For example, 2x2+5x+3, 4x2-3x+4 etc.

Cubic polynomial: Polynomial having degree 3 is called a cubic polynomial. For example, 3x3+4x2+5x+2, 9x3+5x2+3x+5 etc.

Biquadratic polynomial: Polynomial having degree 4 is called a biquadratic polynomial. For example, 5x4+3x3+8x2+x+2 etc.

Zero of polynomial

If the value of P(x) at x = K is zero then K is called a zero of the polynomial P(x).