Make sure that each polynomial is written is DESCENDING order.
*Apex student*
To multiply two polynomials, you apply the distributive property, also known as the FOIL method for binomials. Each term in the first polynomial is multiplied by each term in the second polynomial. After performing all the multiplications, you combine like terms to simplify the resulting polynomial. Finally, ensure that the polynomial is written in standard form, with terms ordered by decreasing degree.
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.
A polynomial is written in descending order when its terms are arranged from the highest degree to the lowest degree. For example, (4x^3 + 2x^2 - x + 5) is in descending order. Conversely, a polynomial is in ascending order when its terms are organized from the lowest degree to the highest degree, such as (5 - x + 2x^2 + 4x^3). In both cases, the coefficients of each term remain associated with their respective powers of the variable.
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.
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
To multiply two polynomials, you apply the distributive property, also known as the FOIL method for binomials. Each term in the first polynomial is multiplied by each term in the second polynomial. After performing all the multiplications, you combine like terms to simplify the resulting polynomial. Finally, ensure that the polynomial is written in standard form, with terms ordered by decreasing degree.
Eduardo D. Sontag has written: 'Polynomial response maps' -- subject(s): Power series, Discrete-time systems, Polynomials
H. N. Mhaskar has written: 'Introduction to the theory of weighted polynomial approximation' -- subject(s): Approximation theory, Orthogonal 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?