Other polynomials of the same, or lower, order.
Reducible polynomials.
Yes.
Yes.
Oh, dude, it's like super simple. So, basically, you classify polynomials based on their degree, which is the highest power of the variable in the polynomial. If the highest power is 1, it's a linear polynomial; if it's 2, it's quadratic; and if it's 3, it's cubic. Anything beyond that, like a fourth-degree polynomial or higher, we just call them "higher-degree polynomials." Easy peasy, lemon squeezy!
You just multiply the term to the polynomials and you combine lije terms
it can be but it does not have to be to be a polynomial
you can say that it is polynomial if that have a exponent
There is no specific term for such polynomials. They may be referred to as are polynomials with only purely complex roots.
To multiply TWO polynomials, you multiply each term in the first, by each term in the second. This can be justified by a repeated application of the distributive law. Two multiply more than two polynomials, you multiply the first two. Then you multiply the result with the third polynomial. If there are any more, multiply the result with the fourth polynomial, etc. Actually the polynomials can be multiplied in any order; both the communitative and associate laws apply.
Other polynomials of the same, or lower, order.
Dividing polynomials is a lot easier for me. You'll have to divide it term by term like dividing normal numbers.
Reducible polynomials.
they have variable
You simply need to multiply EACH term in one polynomial by EACH term in the other polynomial, and add everything together.
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
In mathematics, Jacobi polynomials (occasionally called hypergeometric polynomials) are a class of classical orthogonal polynomials.