plz explain how to tell if its a polynomial from a monomial and binomial, ect. Aslo the degrees of the polynomial.
2006-11-22 05:15:03 · 7 answers · asked by Todos ojos en mí 2 in Science & Mathematics ➔ Mathematics
Polynomial is a general term for any expression, including monomial, binomial, trinomial, etc. Monomials have just one term with no + or -, such as x or 3x or 5x^6. Binomials are two monomials added or subtracted, such as 3x + 5 or 5x^2 - 6x. The degree of a polynomial is the highest exponent of any of its variables, assuming there is only one variable. So for x^3 + 8x^2 + 3x - 4, the degree is 3.
2006-11-22 05:20:54 · answer #1 · answered by hayharbr 7 · 0⤊ 0⤋
a polynomial is any expression of the form:
a(n)x^n+ a(n-1)x^(n-1)+ ...+ a(1)x+ a(0)
where n>=0 and a(n), a(n-1), ..., a(1), a(0) are all constants. the degree of the polynomial is the number n. note that a(n) must not be 0, or else you'd be able to just keep adding terms to the left end of the expression forever. also note that it doesn't have to be only in 1 variable. the polynomial can contain other variables, as long as they're being raised to powers that are not negative.
a term is any expression that only involves the product of constants, variables, and variables raised to nonnegative powers. an example would be A(x^n)(y^m)(z^p)(w^q)...
a monomial is a type of polynomial that only has 1 term, and a binomial is a type of polynomial with only 2 terms. some examples of functions that are NOT polynomials are x^.5 (since the exponents in the polynomial must all be integers) and x^-1 (since none of them can be negative).
note that the degree can also be 0, in which case the polynomial would just be a constant. therefore, all constants are polynomials.
2006-11-22 05:28:19 · answer #2 · answered by Ramesh S 2 · 0⤊ 0⤋
A polynomial is an expression in which a finite number of constants and variables are combined using only addition, subtraction, multiplication, and non-negative whole number exponents (raising to a power). Thus, 2x²y³ - 3.1y² + 5yz - 2 is a polynomial, but 1 / (x² + 1) is not a polynomial.
A monomial is a particular kind of polynomial, having just one term. 12a, x², 2x²y³ are examples of monomials.
A binomial is a polynomial with two terms: the sum of two monomials. a + b, x + 3, and vt - ¾gt² are examples of binomials.
2006-11-22 05:27:50 · answer #3 · answered by Anonymous · 0⤊ 0⤋
monomial has one variable, binomial has two variables. degree of the polynomial is the highest exponent value. Example:
3X is a monomial
3X + 4Y is a binomial
3X^3 + 4Y^2 + 5Z + 7 is a third degree polynomial
2006-11-22 05:22:33 · answer #4 · answered by davidosterberg1 6 · 0⤊ 0⤋
a monomials is a one term such as 3x
a binomial is 2 term such as 2x -6
and a trinomial is three terms such as 5x +4y - 6
the degree of a polynomialis the degree of the x term
( which usally is the first term in a polynomial ) for example
in the trinomial given below the dgree of the polynomial is 5
2x^5 + 8 - 6
2006-11-22 05:24:46 · answer #5 · answered by Anonymous · 0⤊ 0⤋
I just learned that in school yesterday and the answers above are correct, hey, but who needs my approval?
2006-11-22 08:06:16 · answer #6 · answered by Life Is Great 4 · 0⤊ 0⤋
it really is what occurs once you do not enable your children adventure dropping or failure. they do no longer comprehend the thanks to react, or except it like adults even as they get out contained in the authentic international. Then, they initiate whining, making issues up, and blame others for his or her defeat.
2016-11-29 09:13:15 · answer #7 · answered by Erika 4 · 0⤊ 0⤋