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A local minimum.

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Q: What value of a polynomial is a value for which the polynomial is smaller than any other nearby values?
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If the factors of a polynomial are x-2 and x-5 what values of x make that polynomial 0?

The values that make each of the factors zero. In other words, you need to solve:x - 2 = 0 and: x - 5 = 0


If a polynomial cannot be written as the product of two other polynomials excluding 1 and negative 1 then the polynomial is said to be?

irreducible polynomial prime...i know its the same as irreducible but on mymathlab you would select prime


How do explain how to multiply polynomials?

You simply need to multiply EACH term in one polynomial by EACH term in the other polynomial, and add everything together.


Which polynomial has rational coefficients a leading leading coefficient of 1 and the zeros at 2-3i and 4?

There cannot be such a polynomial. If a polynomial has rational coefficients, then any complex roots must come in conjugate pairs. In this case the conjugate for 2-3i is not a root. Consequently, either (a) the function is not a polynomial, or (b) it does not have rational coefficients, or (c) 2 - 3i is not a root (nor any other complex number), or (d) there are other roots that have not been mentioned. In the last case, the polynomial could have any number of additional (unlisted) roots and is therefore indeterminate.


What is a zero of polynomial function?

A zero of a polynomial function - or of any function, for that matter - is a value of the independent variable (often called "x") for which the function evaluates to zero. In other words, a solution to the equation P(x) = 0. For example, if your polynomial is x2 - x, the corresponding equation is x2 - x = 0. Solutions to this equation - and thus, zeros to the polynomial - are x = 0, and x = 1.

Related questions

A value of a polynomial is a value for which the polynomial is bigger or smaller than any other nearby values?

extreme


When I graph the equation 4x2-2x3-2x4 plus x5 the endpoints are in the infinities how do I bring them down to the x-axis to be in range with my other points?

It is the nature of a polynomial of order 5 is that the values are asymptotically infinite. The only way to bring them down is to use smaller values of x. That will not work if the other points are associated with the large absolute values for x.


If the factors of a polynomial are x-2 and x-5 what values of x make that polynomial 0?

The values that make each of the factors zero. In other words, you need to solve:x - 2 = 0 and: x - 5 = 0


What is another name for a polynomial?

There is no other name for a polynomial.


How does knowing one linear factor of a polynomial help find the other factors?

If you know one linear factor, then divide the polynomial by that factor. The quotient will then be a polynomial whose order (or degree) is one fewer than that of the one that you stared with. The smaller order may make it easier to factorise.


What is a comparison of two values?

It is a process for determining whether one of the two values is smaller than, equal to or greater than the other.


2 x - 1 2 square?

To square an expression, multiply it by itself. And to multiply a polynomial by a polynomial, multiply each part of one polynomial by each part of the other polynomial.


Which best describes a minimum value of a polynomial?

A minimum value (of any function, not just a polynomial) is a value that has a lower value than any nearby value. A global minimum is a value that is lower than ANY other value. (This answer is just a brief and informal overview; check the Wikipedia article on "maxima and minima" for a more detailed explanation.)


What is the different of polynomial and non-polynomial?

Briefly: A polynomial consists only of powers of the variables - ie the variables multiplied by themselves or one another. A non polynomial can include any other function such as trigonometric, exponential, logarithmic etc.


What comes next with 1 1 2 4 6?

Any number, of yuor choice can be next. It is always possible to find a position-to-value rule in the form of a polynomial of order 5 that will fit the above values and any other value. The polynomial of order 4 that will fit the above values is Un = (-n4 + 10n3 - 23n2 + 14n + 24)/24 for n = 1, 2, 3, ... and accordingly, the next number is 6.


If a polynomial cannot be written as the product of two other polynomials excluding 1 and negative 1 then the polynomial is said to be?

irreducible polynomial prime...i know its the same as irreducible but on mymathlab you would select prime


Why monomial is not polynomial?

In mathematics, a polynomial is a finite expression made up of variables and constants, by using the operations of addition, subtraction, multiplication. The other requirement is the the exponents bet non-negative whole number.A polynomial is the sum of two or more monomials. That is why a monomial is not a polynomial.