Other polynomials of the same, or lower, order.
Yes. If and only if the coefficients of x4 are of the same magnitude and opposite sign.
Reducible polynomials.
Yes.
Yes. If the coefficient of the third degree terms in one polynomial are the additive inverses (minus numbers) of the coefficient of the corresponding terms in the second polynomial. Eg: 3x3 + 2x2 + 5 and -3x3 + x - 7 add to give 2x2 + x - 2
Based on number of district variables.
No this is not the case.
Higher
Not into rational factors.
2x2y2+5=0 how to solve this
Usually the sum will have the same degree as the highest degree of the polynomials that are added. However, it is also possible for the highest term to cancel, for example if one polynomial has an x3, and the other a -x3. In this case, the sum will have a lower degree.
How do you classify cost based on Nature
Botanists could not agree on how to classify the newly-discovered plant. The army decided to classify the project as top secret. Doctors classify a minor scalding as a first-degree burn.
The degree of x is 1. Log of x is no part of a polynomial.
Polynomials can be classified based on the number of terms they contain. A polynomial with one term is called a monomial, such as 5x or -2y^2. A polynomial with two terms is called a binomial, like 3x + 2 or 4y - 7. A polynomial with three terms is called a trinomial, for example, 2x^2 + 5x - 3. Polynomials with more than three terms are simply referred to as polynomials.
put the variable that has the highest degree first.
find the number with the highest exponent, that exponent is the degree. for example, 2x to the 3rd power + 6x to the 2nd power the degree is 3