Class 10 Question > Can someone explain me.what is the Relationsh...
 | View courses related to this question | Explore Class 10 courses |
Explore Class 10 courses View courses related to this question |  |
Can someone explain me.what is the Relationship b/w zeroes and coefficient of a polynomial:- related to chapter polynomials?
Answers
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)
.
| 1 Crore+ students have signed up on EduRev. Have you? |
Can someone explain me.what is the Relationship b/w zeroes and coefficient of a polynomial:- related to chapter polynomials?
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 .
Similar Class 10 Doubts
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 2023 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 2023 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 2023 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 2023 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.
Download free EduRev App
Track your progress, build streaks, highlight & save important lessons and more!
(Scan QR code)
|
|
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).
|
© EduRev
|
Education Revolution
|
Follow Us
|
