Its true
greatest
True. A polynomial of degree zero is defined as a polynomial where the highest degree term has a degree of zero. This means that the polynomial is a constant term, as it does not contain any variables raised to a power greater than zero. Therefore, a polynomial of degree zero is indeed a constant term.
A polynomial expression is one with a degree higher than 0. Hence, all constants will meet your criterion. Note that (x+2) or [sin(2x)+4] is a polynomial of degree 1. The following is a trivial (normally ignored; inconsequential) non-polynomial: (5x2 - 2x2 - 3x2 + 2) ======================================
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.
No. A second-order polynomial is of the form ax2 + bx + c, which is three terms exactly. More is impossible.
Two terms is a binomial. More than two terms is a polynomial. Binomials are not part of the set of polynomials.
Yes.
It is nothing more than a polynomial that is equivalent to another, but has fewer terms. For an example, see Wikipedia, under "quartic equation".
A binomial is an algebraic expression of the sum or the difference of two terms. A polynomial is an expression of more than two algebraic terms, esp. the sum of several terms that contain different powers of the same variable(s). The degree of a polynomial is the highest degree of its terms. Now that we have the definitions and the correct spellings out of the way, the answer to your question is a qualified no. There's no such thing as a second-term polynomial. I suspect you mean second degree, but both binomials and polynomials can be second-degree. There's also no such thing as a binomial polynomial. Expressions of two terms are binomials, more than two terms are polynomials, exactly three terms are trinomials.
No. A polynomial is an expression of more than two algebraic terms, and usually contains different powers of the same variable.
The sum of two polynomials is always a polynomial. Therefore, it follows that the sum of more than two polynomials is also a polynomial.
The degree of a polynomial is the highest exponent in the polynomial.
Its true
greatest
A polynomial consists of terms which are multiples of non-negative integer powers of a single variable. An expression may contain several variables, or it may contain powers that are negative or fractional.
An octagon has two more sides than a hexagon