Math, asked by rrohithram03, 8 months ago

A polynomial of degree n has _____number of zeroes or roots *

Answers

Answered by bhainapranitsp3610
5

Answer:

Step-by-step explanation:

A polynomial with degree n can have almost n zeros. The fundamental theorem of algebra states that an n^{th} degree polynomial has exactly roots, provided you count them with their multiplicity. This is equivalent to saying that any polynomial has a root.

for easy answer see below

A polynomial of degree n can have at most n real zeros. A polynomial of degree n can have almost n number of zeroes. if n = 2, then the polynomial will have almost 2 zeroes.

Answered by amitnrw
1

A polynomial of degree n has atmost n   number of zeroes or roots

A Polynomial of degree n  can have maximum  n zeroes  .

But not necessary that all n zeroes are real  ,

For example :  x² +  2   has no real zero  ,

Graph of polynomial Does not intersect x axis

There is no real value of x for which   x² +  2  = 0  holds true

x² +  2 has degree 2 but  zeroes are not 2.

Where as x²  - 2   has exactly 2 zeroes ±√2

A polynomial of degree n has atmost n zeroes

A polynomial is a monomial or a sum of monomials

A monomial is number, a variable, or a product of numbers and variables with whole number exponents.

Degree of a Polynomial

Degree of a polynomial is the highest degree of its monomials.

Degree of a Monomial

When the exponents of all variables in a monomial are summed up, the resulting number is called the degree of the monomial.

Correct answer is : A polynomial of degree n has atmost n   number of zeroes or roots

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