Polynomials introduction || Polynomials class 10 in telugu || Mathstech

Polynomials introduction || 10th class maths in telugu || Mathstech

In this video the following concepts are covered
Definitions of
Constant
variableTterm
Eexpression
Polynomial and
how to identify the polynomials
tyes of polynomials according to number of terms
degree of polynomial
tyes of polynomials according to degree
general form of polynomials
stadard form of polynomials
zeroes of a polynomial
value of plynomial
number of zeros of a polynomial with examples.
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To watch the video of Relationship between ZEROES AND COEFFICIENTS of a polynomial CLICK HERE    • Polynomials class 10 in telugu || Exe...  

To watch the video of how to factorise the polynomials to find the zeroes CLICK HERE
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To watch POLYNOMIALS – CLASS 10 videos click below:
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   • 10th class maths 2nd chapter in telug...  

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video chapters
00:00 introduction
03:24 polynimial meaning
08:19 Types of polynomials
10:20 Degree of polynomial
13:31 Types of polynomials based on degree
16:40 General form of a polynomial
19:06 Value of a polynomial
20:53 Zero of the polynomial
22:18 Number of zeroes


Polynomial :
An algebraic expression in which the variables have only non-negative integral powers is called a polynomial.

Ex: 2x+5,
3x2+5x-8,
m2-√2.m+2
These are polynomials

NOTE: While writing a Polynomial in standard form terms should be written in descending order of their degrees.

Polynomial in one variable: If a polynomial has only one variable, then it is called a polynomial in one variable.

Generally polynomials are denoted by p(x), q(x), r(x), f(x), g(x), .…etc.

General Forms Of Polynomials :
 General form of a Linear polynomial is ax+b (a ≠ 0)
 General form of a Quadratic polynomial is ax2+bx+c (a ≠ 0)
 General form of a Cubic polynomial is ax3+bx2+cx+d (a ≠ 0)

General form of nth degree polynomial

Degree of a Term/Monomial:
Degree of constant term is zero

Degree of the polynomial:
Degree of polynomial is the highest degree of its variable term.
Ex: 1) 3x2y + 2y - 8
3 1 0
degree of the polynomial is 3.
2) 5xy2 - 3x2y3 + 3x
3 5 1
degree of the polynomial is 5.

Value of a Polynomial:
Let p(x) be a polynomial in variable 'x’
By putting any value instead of 'x' , we get the value of the polynomial.

Zero of the Polynomial
If the value of a polynomial p(x) is zero, at x = a, then 'a' is called zero of the polynomial p(x).

Ex : Find the zero of the polynomial p(x) = 2x + 3 ?
Sol : Given that, p(x) = 2x + 3

If x = 3, p(3) = 2(3) – 6
= 6 – 6
= 0
p(x) = 0, at x = 3

∴ 3 is the zero of the polynomial p(x)

Zero of the polynomial is also known as 'root' of the polynomial.

Number of zeroes of a polynomials
A Linear polynomial has only one zero.
A Quadratic polynomial has at most two zeros.
A cubic polynomial has at most three zeros.

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