Rules in adding polynomials?
To add polynomials , simply combine similar terms. Combine similar terms get the sum of the numerical coefficients and affix the same literal coefficient .
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
Nothing. The exponents are not affected when added polynomials. However, they play a role in which variables add or subtract another variable. For example. (3x^2+5x-6)+(4x^2-3x+4) The exponents would determine that when adding these polynomials that 3x^2 would be added to 4x^2 and so forth 5x-3x and finally -6 would be added to 4. With a final conclusion of (7x^2+2x-2)
Multiply each monomial in the first polynomial with each monomial in the second polynomial. Then add everything up. This follows from the distributive property. Thus, for example: (a + b)(c + d) = ac + ad + bc + bd Often you can combine terms after adding: (x + 3)(x + 5) = x2 + 5x + 3x + 5 = x2 + 8x + 5
"Non-polynomials", having none of the properties or characteristics of polynomials, or even having some but not all of those features, have no legitimate claim to the descriptive title "polynomial". In contrast, "polynomials" are observed upon the closest examination to match the formal definition of that class of expressions in every detail, by virtue of which they are entitled to that coveted appellation, along with all of the rights and privileges to which its holders are…