The degree of the polynomial 2x + 5 is 1. The highest power of x is x1, i.e. 2x1 + 5x0, hence the designation of first degree.
You multiplay the consents and who cares about math, go out and party! the world will end in 2012 anyway!To divide a polynomial by a monomial you don't need to multiply the polynomial.
That means that you divide one polynomial by another polynomial. Basically, if you have polynomials "A" and "B", you look for a polynomial "C" and a remainder "R", such that: B x C + R = A ... such that the remainder has a lower degree than polynomial "B", the polynomial by which you are dividing. For example, if you divide by a polynomial of degree 3, the remainder must be of degree 2 or less.
For example, if you divide a polynomial of degree 2 by a polynomial of degree 1, you'll get a result of degree 1. Similarly, you can divide a polynomial of degree 4 by one of degree 2, a polynomial of degree 6 by one of degree 3, etc.
That's the definition of a "rational function". You simply divide a polynomial by another polynomial. The result is called a "rational function".
monomial
You can find explanation and examples here: http://en.wikipedia.org/wiki/Polynomial_division
Yes. If you add, subtract or multiply (but not if you divide) any two polynomials, you will get a polynomial.
It means that you can do any of those operations, and again get a number from the set - in this case, a polynomial. Note that if you divide a polynomial by another polynomial, you will NOT always get a polynomial, so the set of polynomials is not closed under division.
Divide the GCF into each to get the other factors.
If the quotient of a certain binomial and 20x2 is is the polynomial
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