**Degree of the polynomial :-**

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

**For example:**

3x + 2 is a polynomial of x. Degree of expression is **1**

4z^**2** –z + 2 is a polynomial of z. Degree of expression is **2**,

3x^**3** – 2x – 2 is a polynomial of x. Degree of expression is **3**

**Linear polynomial**** :-**

A polynomial of degree 1 is called a linear polynomial.

**For example**: 7x + 43

**Quadratic polynomial**** :-**

** **A polynomial of degree 2 is called a quadratic polynomial.

**For example: **x^2 + 3x + 7

**Cubic polynomial :-**

A polynomial of degree 3 is called a cubic polynomial

**For example: **x^3 + 3x

**Zeros of the polynomial** :-

A real number t is called a zero of a polynomial if the value of f(t) = 0

**For example**

f(x) = x^2 – 6x +8

zeros of this equation are 2 and 4 because

f(2)= 2^2 -6*2 + 8 = 0

f(4)= 4^2 – 6*4 + 8 =0

Sum and product of root of quadratic equation :-

For a equation ax^2 + bx + c = 0 , if root are α and β ,

Roots for cubic equation :-

For a equation ax^3 + bx^2 + cx + d = 0

**Division Algorithm:-**

If p(x) and g(x) are any two polynomials with g(x) is not equal to 0, then we can find polynomials q(x) and r(x) such that

If r(x) = 0 or degree of r(x) < degree of g(x).

Dividend = Divisor × Quotient + Remainder

p(x) = g(x) × q(x) + r(x),