Step 1. Look for a GCF.
Step 2. Look for the difference of squares. ex: a2 - b2 = (a+b)(a-b)
Step 3a. Look for the difference of cubes. ex: a3 - b3 = (a-b)(a2 + ab + b2)
Step 3b. Look for the sum of cubes. ex: a3 + b3 = (a+b)(a2 - ab + b2)
Seventeen methods.
A trinomial
Yes, f(x) = 2 is a polynomial of degree 0 (because there are no x terms).
binomial
Yes, if they are in common for all the terms.
The GCF is 2.
Yes.
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.
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.
Quintinomial, is a polynomial with 5 terms
A polynomial with two terms is called a binomial.
this term 2x is not a polynomial. this term is a monomial. since only one term was listed it can not be a polynomial. A polynomial is like four or more terms. a trinomial is three terms and a binomial is two terms.
The degree of the polynomial.
The terms in a polynomial are seperated by a + or - So in given polynomial there are 4 terms.... abc , e, fg and h²
A trinomial is a polynomial. All trinomials are polynomials but the opposite is not true. a trinomial= three unlike terms. a polynomial= "many" unlike terms.
There are several things you can do to simplify expressions. Specifically for expressions with several terms, two things you can do is to combine similar terms (terms that have the same combination of variables), and then (usually after combining), see if you can apply one of the common methods of factoring, such as looking for common factors, looking for a perfect cube, factoring the difference of squares, the sum or difference of cubes, etc.
The only difference is that a binomial has two terms and a polynomial has three or more terms.