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.
You just multiply the term to the polynomials and you combine lije terms
6+6=12 Boom polynomial
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.
Descartes did not invent polynomials.
Polynomials have graphs that look like graphs of their leading terms because all other changes to polynomial functions only cause transformations of the leading term's graph.
There is no specific term for such polynomials. They may be referred to as are polynomials with only purely complex roots.
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
6+6=12 Boom polynomial
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.
12(b + 1)(b + 1)
Dividing polynomials is a lot easier for me. You'll have to divide it term by term like dividing normal numbers.
"Non-polynomials" may be just about anything; how alike or different they are will depend on what specific restrictions you put on such functions, or whether you are even talking about functions.
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.