Quotient =3x
3
−x
2
−x−4
Remainder =−5
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.
When dividing a polynomial by a monomial, you actually divide each term of the polynomial by the monomial itself, not its reciprocal. This means you take each term in the polynomial and perform the division separately. For example, if you have a polynomial like (3x^2 + 6x + 9) and you are dividing by (3x), you would divide each term: ( \frac{3x^2}{3x} + \frac{6x}{3x} + \frac{9}{3x}). This approach simplifies the polynomial term by term.
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.
If the quotient of a certain binomial and 20x2 is is the polynomial
Divide the GCF into each to get the other factors.