Degree of the polynomial Division Algorithm Zeros of the polynomial

what are the degree of Polynomials ?

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
4z² –z + 2 is a polynomial of z.         Degree of expression is 2,
3x³ – 2x – 2 is a polynomial of x.      Degree of expression is 3

Type of polynomials

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:  x² + 3x + 7

Cubic polynomial :-

A polynomial of degree 3 is called a cubic polynomial

For example:  x³ + 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)  = x² – 6x +8
zeros of this equation are 2 and 4 because
f(2)= 2² -6*2 + 8 = 0
f(4)= 4² – 6*4 + 8 =0

Sum and product of root of quadratic equation   :-
For a equation ax² + bx  + c  = 0 , if  root are α and β ,

Roots for cubic equation :-
For a equation ax³ + bx² + 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),