Class 10 Exam > Class 10 Questions > Can someone explain me.what is the Relationsh...
Start Learning for Free
Can someone explain me.what is the Relationship b/w zeroes and coefficient of a polynomial:- related to chapter polynomials?
Most Upvoted Answer
Can someone explain me.what is the Relationship b/w zeroes and coeffic...
Polynomials can be linear (x), quadratic (x2), cubic (x3) and so on, depending on the highest power of the variable.
The number of zeroes of a polynomial is equal to the degree of the polynomial, and there is a well-defined mathematical relationship between the zeroes and the coefficients. Mathematically, if p(x) is a polynomial in x, and if k is any real number, then the value obtained by replacing x by k in p(x) is called the value of p(x) at x = k and is denoted by p(k).
Here, the real number k is said to be a zero of the polynomial of p(x), if p(k) = 0.
Simply put, the zeroes of a polynomial function are the solutions to the equation you get, when you set the polynomial equal to zero.
note :-( the degree of a polynomial is the highest of the degrees of the polynomial's monomials with non-zero coefficients)
.
The number of zeroes of a polynomial is equal to the degree of the polynomial, and there is a well-defined mathematical relationship between the zeroes and the coefficients. Mathematically, if p(x) is a polynomial in x, and if k is any real number, then the value obtained by replacing x by k in p(x) is called the value of p(x) at x = k and is denoted by p(k).
Here, the real number k is said to be a zero of the polynomial of p(x), if p(k) = 0.
Simply put, the zeroes of a polynomial function are the solutions to the equation you get, when you set the polynomial equal to zero.
note :-( the degree of a polynomial is the highest of the degrees of the polynomial's monomials with non-zero coefficients)
.
Community Answer
Can someone explain me.what is the Relationship b/w zeroes and coeffic...
Zeroes are the roots of any quadratic equation and linear equation .
Coffecients are the numbers which shows with some variables such as x , y etc.
For example :-
equation is 2x^2 + x - 6 = 0
2x^2 + 4x - 3x - 6 = 0
2x ( x + 2) - 3 ( x + 2) = 0
(2x - 3 ) ( x + 2) = 0
2x = 3
x = 3 / 2 or x = -2
So , 3 / 2 & -2 are the zeroes . 2 is the coefficient of x^2 & 1 is nothing but considered to be as coefficient x .
Coffecients are the numbers which shows with some variables such as x , y etc.
For example :-
equation is 2x^2 + x - 6 = 0
2x^2 + 4x - 3x - 6 = 0
2x ( x + 2) - 3 ( x + 2) = 0
(2x - 3 ) ( x + 2) = 0
2x = 3
x = 3 / 2 or x = -2
So , 3 / 2 & -2 are the zeroes . 2 is the coefficient of x^2 & 1 is nothing but considered to be as coefficient x .
Attention Class 10 Students!
To make sure you are not studying endlessly, EduRev has designed Class 10 study material, with Structured Courses, Videos, & Test Series. Plus get personalized analysis, doubt solving and improvement plans to achieve a great score in Class 10.
|
Explore Courses for Class 10 exam
|
|
Similar Class 10 Doubts
Top Courses for Class 10View all
Can someone explain me.what is the Relationship b/w zeroes and coefficient of a polynomial:- related to chapter polynomials?
Question Description
Can someone explain me.what is the Relationship b/w zeroes and coefficient of a polynomial:- related to chapter polynomials? for Class 10 2024 is part of Class 10 preparation. The Question and answers have been prepared according to the Class 10 exam syllabus. Information about Can someone explain me.what is the Relationship b/w zeroes and coefficient of a polynomial:- related to chapter polynomials? covers all topics & solutions for Class 10 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Can someone explain me.what is the Relationship b/w zeroes and coefficient of a polynomial:- related to chapter polynomials?.
Can someone explain me.what is the Relationship b/w zeroes and coefficient of a polynomial:- related to chapter polynomials? for Class 10 2024 is part of Class 10 preparation. The Question and answers have been prepared according to the Class 10 exam syllabus. Information about Can someone explain me.what is the Relationship b/w zeroes and coefficient of a polynomial:- related to chapter polynomials? covers all topics & solutions for Class 10 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Can someone explain me.what is the Relationship b/w zeroes and coefficient of a polynomial:- related to chapter polynomials?.
Solutions for Can someone explain me.what is the Relationship b/w zeroes and coefficient of a polynomial:- related to chapter polynomials? in English & in Hindi are available as part of our courses for Class 10.
Download more important topics, notes, lectures and mock test series for Class 10 Exam by signing up for free.
Here you can find the meaning of Can someone explain me.what is the Relationship b/w zeroes and coefficient of a polynomial:- related to chapter polynomials? defined & explained in the simplest way possible. Besides giving the explanation of
Can someone explain me.what is the Relationship b/w zeroes and coefficient of a polynomial:- related to chapter polynomials?, a detailed solution for Can someone explain me.what is the Relationship b/w zeroes and coefficient of a polynomial:- related to chapter polynomials? has been provided alongside types of Can someone explain me.what is the Relationship b/w zeroes and coefficient of a polynomial:- related to chapter polynomials? theory, EduRev gives you an
ample number of questions to practice Can someone explain me.what is the Relationship b/w zeroes and coefficient of a polynomial:- related to chapter polynomials? tests, examples and also practice Class 10 tests.
|
|
Explore Courses for Class 10 exam
|
|
Suggested Free Tests
Signup for Free!
Signup to see your scores go up within 7 days! Learn & Practice with 1000+ FREE Notes, Videos & Tests.
|
© EduRev
|
Education Revolution
|
Follow Us
|
Signup to see your scores
go up within 7 days!
Access 1000+ FREE Docs, Videos and Tests
Takes less than 10 seconds to signup