Degree of the Polynomial Type of Polynomials Linear Polynomial Q Notes Chapter 2 Polynomials Maths Class 10 NCERT

Degree of the polynomial Type of polynomials Linear polynomial Quadratic p chapter 2 can study by students of class 10. These definitiona and formulas of Class 10 Maths Chapter 2: Polynomials is developed and witten by our expert teachers. Maths formulas. Degree of the polynomial Type of polynomials Linear polynomial Quadratic polynomial Cubic polynomial Zeros of the polynomial Division Algorithm is prepapred and collected from varius resources to help the students.

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

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: 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),