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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 .
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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?.
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