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Can Polynomials with the same roots can have different graphs.?

If you only look at the value of the roots and not their multiplicity then the answer is yes.The straight line y = x - 1 and the parabola y = (x - 1)^2 have the same root: x = 1. But the graphs are obviously different. All polynomials of the form y = (x - 1)^n will have x = 1 as the only root but they will have different shapes. The reason to this is that in the case of the straight line it is a root of multiplicity 1, in the case of a parabola it is a root of multiplicity 2 and in the case of y = (x - 1)^n it is a root of multiplicity n.


What is a distinct root?

A distinct root refers to a solution of an equation that is unique and not repeated. In the context of polynomial equations, a distinct root means that the root has a multiplicity of one, indicating it only appears once in the factorization of the polynomial. For example, in the polynomial ( f(x) = (x - 2)(x - 3)^2 ), the root ( x = 2 ) is a distinct root, while ( x = 3 ) is not, as it has a multiplicity of two. Distinct roots are important in various mathematical contexts, including algebra and calculus, as they indicate the points where a function intersects the x-axis.


When was Multiplicity released?

Multiplicity was released on 07/17/1996.


What was the Production Budget for Multiplicity?

The Production Budget for Multiplicity was $45,000,000.


When was Multiplicity - album - created?

Multiplicity - album - was created in 2005.


What is the least degree a polynomial could have with an imaginary root with a multiplicity of three?

Since the question did not specify a rational polynomial, the answer is a polynomial of degree 3.


What is the root word of fugitive?

Fugitive has no root word it is the root word.


What is the duration of Multiplicity film?

The duration of Multiplicity - film - is 1.95 hours.


How to identify the multiplicity?

Multiplicity is identified by looking at highest power of an exponent.


What is the root word of river?

There is no root word of river. It itself is a root word.


What is the root word for conference And what is the root word for adhesive?

the root word is'confirminglyishness'


When was Multiplicity - film - created?

Multiplicity - film - was created on 1996-07-17.