Yes.
No. A polynomial is an expression of more than two algebraic terms, and usually contains different powers of the same variable.
The first step in factoring a polynomial with four terms is to look for a common factor among the terms. If no common factor exists, you can try grouping the terms into two pairs and factor each pair separately. This often reveals a common binomial factor that can be factored out, simplifying the polynomial further.
A strategy that would be appropriate in factoring polynomials with 4 terms would be by grouping where you first determine if the polynomial can be factored by a group.
It means finding numbers (constant terms), or polynomials of the same or smaller order that multiply together to give the original polynomial.
As many as you like. A polynomial in 1 variable, and of degree n, can have n+1 terms where n is any positive integer.
As many as you like. The highest power of the variable in question (usually x) defines the degree of the polynomial. If the degree is n, the polynomial can have n+1 terms. (If there are more then the polynomial can be reduced.) But there is NO LIMIT to the value of n.
Yes, a polynomial of degree 0 is a constant term. In mathematical terms, a polynomial is defined as a sum of terms consisting of a variable raised to a non-negative integer power multiplied by coefficients. Since a degree 0 polynomial has no variable component, it is simply a constant value.
A polynomial is a type of algebraic expression. They differ in the number of terms that contain variables. An algebraic expression has at least 1 variable, while a polynomial has multiple terms with variables in it.
Factoring a polynomial with 5 or more terms is very hard and in general impossible using only algebraic numbers. The best strategy here is to guess some 'obvious' solutions and reduce to a fourth or lower order polynomial.
They are terms in which a variable is raised to the same power (index) in both terms. So x2y and -27x2y are like terms but not xy2.
A polynomial is always going to be an algebraic expression, but an algebraic expression doesn't always have to be a polynomial. An algebraic expression is an expression with a variable in it, and a polynomial is an expression with multiple terms with variables in it.
the degree of polynomial is determined by the highest exponent its variable has.