Make sure that each polynomial is written is DESCENDING order.
*Apex student*
A general polynomial does not have 12 specific terms. A polynomial of degree n, in a variable x, can be written as P(x) = anxn + an-1xn-1 + ... + a1x + a0 where n is a non-negative integer and {a0, a1, ... , an} are constants. If, and only if, n = 11 will the polynomial have 12 terms but others will not.
Basically, a rational expression is one that can be written as one polynomial, divided by another polynomial.
put the variable that has the highest degree first.
Polynomials are often writen from the highest to the lowest power, for example, x3 - 3x2 + 5x + 7.Polynomials are often writen from the highest to the lowest power, for example, x3 - 3x2 + 5x + 7.Polynomials are often writen from the highest to the lowest power, for example, x3 - 3x2 + 5x + 7.Polynomials are often writen from the highest to the lowest power, for example, x3 - 3x2 + 5x + 7.
It means that the question has been written by someone who does not know what the word "polynomial" means, or else that this is a copy-and-paste by someone who knows even less! Only a trinomial can be written as a product of two binomials. No polynomial of any other order can!
prime
Peter B. Borwein has written: 'Polynomials and polynomial inequalities' -- subject(s): Inequalities (Mathematics), Polynomials
irreducible polynomial prime...i know its the same as irreducible but on mymathlab you would select prime
H. N. Mhaskar has written: 'Introduction to the theory of weighted polynomial approximation' -- subject(s): Approximation theory, Orthogonal polynomials
Eduardo D. Sontag has written: 'Polynomial response maps' -- subject(s): Power series, Discrete-time systems, Polynomials
Robert P. Feinerman has written: 'Using computers in mathematics' -- subject(s): Data processing, Mathematics 'Polynomial approximation' -- subject(s): Approximation theory, Polynomials
A general polynomial does not have 12 specific terms. A polynomial of degree n, in a variable x, can be written as P(x) = anxn + an-1xn-1 + ... + a1x + a0 where n is a non-negative integer and {a0, a1, ... , an} are constants. If, and only if, n = 11 will the polynomial have 12 terms but others will not.
P. K. Suetin has written: 'Polynomials orthogonal over a region and Bieberbach polynomials' -- subject(s): Orthogonal polynomials 'Series of Faber polynomials' -- subject(s): Polynomials, Series
T. H. Koornwinder has written: 'Jacobi polynomials and their two-variable analysis' -- subject(s): Jacobi polynomials, Orthogonal polynomials
Richard Askey has written: 'Three notes on orthogonal polynomials' -- subject(s): Orthogonal polynomials 'Recurrence relations, continued fractions, and orthogonal polynomials' -- subject(s): Continued fractions, Distribution (Probability theory), Orthogonal polynomials 'Orthogonal polynomials and special functions' -- subject(s): Orthogonal polynomials, Special Functions
Oh, dude, it's like this: all quadratic equations are polynomials, but not all polynomials are quadratic equations. A quadratic equation is a specific type of polynomial that has a degree of 2, meaning it has a highest power of x^2. So, like, all squares are rectangles, but not all rectangles are squares, you know what I mean?
In mathematics, a rational function is any function which can be written as the ratio of two polynomial functions. Neither the coefficients of the polynomials nor the values taken by the function are necessarily rational numbers.In the case of one variable, , a function is called a rational function if and only if it can be written in the formwhere and are polynomial functions in and is not the zero polynomial. The domain of is the set of all points for which the denominator is not zero, where one assumes that the fraction is written in its lower degree terms, that is, and have several factors of the positive degree.Every polynomial function is a rational function with . A function that cannot be written in this form (for example, ) is not a rational function (but the adjective "irrational" is not generally used for functions, but only for numbers).An expression of the form is called a rational expression. The need not be a variable. In abstract algebra the is called an indeterminate.A rational equation is an equation in which two rational expressions are set equal to each other. These expressions obey the same rules as fractions. The equations can be solved by cross-multiplying. Division by zero is undefined, so that a solution causing formal division by zero is rejected.