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.
A polynomial identity is an equation that holds true for all values of the variables involved, typically expressed as a polynomial equation. For example, the identity ( (a + b)^2 = a^2 + 2ab + b^2 ) is valid for any real or complex numbers ( a ) and ( b ). These identities are often used in algebra to simplify expressions or prove other mathematical statements. They contrast with polynomial equations, which may only hold true for specific values of the variables.
There is no other name for a polynomial.
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.)
A root of a polynomial is a value of the variable for which the polynomial evaluates to zero. In other words, if ( p(x) ) is a polynomial, then a number ( r ) is a root if ( p(r) = 0 ). Roots can be real or complex and are critical for understanding the behavior and graph of the polynomial function. The Fundamental Theorem of Algebra states that a polynomial of degree ( n ) has exactly ( n ) roots, counting multiplicities.
extreme
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
Can you give the name of any other, bigger place nearby, please?
There is no other name for a polynomial.
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.
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.
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
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.