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Explain how you multiply two polynomials?
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.
What is the Factor the polynomial expression. Write each factor as a polynomial in descending order.?
To factor a polynomial expression, you identify common factors among the terms and express the polynomial as a product of simpler polynomials. For example, consider the polynomial ( x^2 - 5x + 6 ); it factors into ( (x - 2)(x - 3) ). Each factor is written in descending order, starting with the highest degree term. The specific steps to factor will depend on the polynomial you are working with.
What are the 12 specific term of 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.
How can we say that a polynomials is written in descending and ascending order?
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.
What is rational algebra expression?
Basically, a rational expression is one that can be written as one polynomial, divided by another polynomial.
What is a polynomial that cannot be written as a product of two polynomials?
prime
What has the author Peter B Borwein written?
Peter B. Borwein has written: 'Polynomials and polynomial inequalities' -- subject(s): Inequalities (Mathematics), Polynomials
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
Explain how you multiply two polynomials?
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.
What has the author H N Mhaskar written?
H. N. Mhaskar has written: 'Introduction to the theory of weighted polynomial approximation' -- subject(s): Approximation theory, Orthogonal polynomials
What has the author Eduardo D Sontag written?
Eduardo D. Sontag has written: 'Polynomial response maps' -- subject(s): Power series, Discrete-time systems, Polynomials
What is the Factor the polynomial expression. Write each factor as a polynomial in descending order.?
To factor a polynomial expression, you identify common factors among the terms and express the polynomial as a product of simpler polynomials. For example, consider the polynomial ( x^2 - 5x + 6 ); it factors into ( (x - 2)(x - 3) ). Each factor is written in descending order, starting with the highest degree term. The specific steps to factor will depend on the polynomial you are working with.
What has the author Robert P Feinerman written?
Robert P. Feinerman has written: 'Using computers in mathematics' -- subject(s): Data processing, Mathematics 'Polynomial approximation' -- subject(s): Approximation theory, Polynomials
What are the 12 specific term of 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.
What has the author P K Suetin written?
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
What has the author T H Koornwinder written?
T. H. Koornwinder has written: 'Jacobi polynomials and their two-variable analysis' -- subject(s): Jacobi polynomials, Orthogonal polynomials
What has the author Richard Askey written?
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
