A local minimum.
The values that make each of the factors zero. In other words, you need to solve:x - 2 = 0 and: x - 5 = 0
irreducible polynomial prime...i know its the same as irreducible but on mymathlab you would select prime
You simply need to multiply EACH term in one polynomial by EACH term in the other polynomial, and add everything together.
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.
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.
extreme
The answer you're looking for is a "local maximum." A local maximum of a polynomial is a point where the polynomial's value is greater than the values of the polynomial at nearby points. Mathematically, this occurs when the first derivative is zero (indicating a critical point) and the second derivative is negative (indicating concavity). Local maxima can occur at one or more points within the polynomial's domain.
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.
The values that make each of the factors zero. In other words, you need to solve:x - 2 = 0 and: x - 5 = 0
There is no other name for a polynomial.
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.
It is a process for determining whether one of the two values is smaller than, equal to or greater than the other.
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.
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.)
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.
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.
irreducible polynomial prime...i know its the same as irreducible but on mymathlab you would select prime