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p(x) =3x 1.x=1/3
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p(x) =3x 1.x=1/3 Related: Examples(NCERT):Zeroes of a Polynomial?
It is like let the value of x=1/3
then we will put value of x there then it will be
p(x) = 3x
p(x) = 3 × 1/3
p(x) = 1
then we will put value of x there then it will be
p(x) = 3x
p(x) = 3 × 1/3
p(x) = 1
Community Answer
p(x) =3x 1.x=1/3 Related: Examples(NCERT):Zeroes of a Polynomial?
Zeroes of a Polynomial
Example:
Importance of finding zeroes of a polynomial
A polynomial is an algebraic expression consisting of variables and coefficients, which involves only the operations of addition, subtraction, multiplication, and non-negative integer exponents of variables. The zeroes of a polynomial are the values of the variable that make the polynomial equal to zero.
Example:
Consider the polynomial p(x) = x^2 - 3x - 10. To find the zeroes of the polynomial, we set p(x) = 0 and solve for x.
x^2 - 3x - 10 = 0
Factorizing the polynomial, we get:
(x - 5)(x + 2) = 0
Therefore, the zeroes of the polynomial are x = 5 and x = -2.
Importance of finding zeroes of a polynomial
Finding the zeroes of a polynomial is an important aspect of algebra because it helps in the solution of equations and in the study of functions. It is used in various fields of science and engineering such as physics, chemistry, and economics.
The zeroes of a polynomial can provide important information about the polynomial, such as its degree, its behavior near the zeroes, and its graph.
For example, if a polynomial has a zero at x = a, then (x - a) is a factor of the polynomial. This property can be used to factorize the polynomial and find other zeroes.
The number of zeroes of a polynomial in a given interval can also be determined using the Intermediate Value Theorem.
Overall, finding the zeroes of a polynomial is an important tool in algebra and is used in various fields of science and engineering.
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p(x) =3x 1.x=1/3 Related: Examples(NCERT):Zeroes of a Polynomial?
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p(x) =3x 1.x=1/3 Related: Examples(NCERT):Zeroes of a Polynomial? for Class 9 2024 is part of Class 9 preparation. The Question and answers have been prepared according to the Class 9 exam syllabus. Information about p(x) =3x 1.x=1/3 Related: Examples(NCERT):Zeroes of a Polynomial? covers all topics & solutions for Class 9 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for p(x) =3x 1.x=1/3 Related: Examples(NCERT):Zeroes of a Polynomial?.
p(x) =3x 1.x=1/3 Related: Examples(NCERT):Zeroes of a Polynomial? for Class 9 2024 is part of Class 9 preparation. The Question and answers have been prepared according to the Class 9 exam syllabus. Information about p(x) =3x 1.x=1/3 Related: Examples(NCERT):Zeroes of a Polynomial? covers all topics & solutions for Class 9 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for p(x) =3x 1.x=1/3 Related: Examples(NCERT):Zeroes of a Polynomial?.
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