Arrange terms in both in decreasing order based on the exponents.
Use the algorith for long division. This is just like long division.
Step 1. Divide 1st term into 1st term, (place answer above division line).
Step 2. Multiply that answer by all terms in the divisor, (place this result below the polynomial inside the division bar)
Step 3. Subtract like terms (answer goes down 1 line) and bring down another term to continue.
Repeat: Step 1. Divide 1st term into new 1st term. etc
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Yes.
If you know one linear factor, then divide the polynomial by that factor. The quotient will then be a polynomial whose order (or degree) is one fewer than that of the one that you stared with. The smaller order may make it easier to factorise.
how alike the polynomial and non polynomial
A root.
13 is not a polynomial.