We won't be able to answer this accurately without knowing the polynomials.
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Yes, if there is no remainder after division, the divisor is a factor.
(x + 11y)(x - 12y)
This polynomial doesn't factor. The only thing you can do is take out parts of some terms, e.g. 2(2x3 + 10x2 + x) - 3.
Yes, f(x) = 2 is a polynomial of degree 0 (because there are no x terms).
Take out the common factor, 3: 3x + 6 = 3(x + 2).