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How can special products simplify the complexity of multiplying polynomials?
well, we need to analyze, of course
How do multiplying and factoring polynomials compare?
Multiplying polynomials involves distributing each term of one polynomial to every term of another, combining like terms to simplify the result. In contrast, factoring polynomials is the process of expressing a polynomial as a product of simpler polynomials or monomials. While multiplication expands expressions, factoring seeks to reverse that process by finding the original components. Both operations are fundamental in algebra and are often interconnected; for instance, factoring can be used to simplify the process of multiplication by breaking down complex polynomials.
Polynomials have factors that are?
Other polynomials of the same, or lower, order.
Find two polynomials whose ratio simplifies to 3x-12x plus 1 and whose sum is 5xsquared plus 20?
The question cannot be answered because the ratio of the polynomials cannot simplify to "3x-12x plus 1" since that is not a simplified form: it simplifies to -9x + 1.
Can the sum of two polynomials with x as the variable both starting as degree 4 simplify to be of degree 3?
Yes. If and only if the coefficients of x4 are of the same magnitude and opposite sign.
What are polynomials that have factors called?
Reducible polynomials.
How polynomials and non polynomials are alike?
they have variable
Can the sum of two polynomials with x as the variable both starting as degree 4 simplify to be of degree 3 in the answer?
Yes. Here is an example: P1 = 5x4 + 3x3; P2 = -5x4 -2
What is the first step in subtracting polynomials in both the horizontal and vertical methods?
The first step in subtracting polynomials, whether using the horizontal or vertical method, is to align the polynomials properly. In the horizontal method, arrange them so like terms are directly above one another, while in the vertical method, stack them in columns based on their degrees. Then, distribute the negative sign across the polynomial being subtracted, and combine like terms to simplify the expression.
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 is a jocobi polynomial?
In mathematics, Jacobi polynomials (occasionally called hypergeometric polynomials) are a class of classical orthogonal polynomials.
Where did René Descartes invent polynomials?
Descartes did not invent polynomials.
