Any polynomial in which there are at least two co-prime coefficients will have 1 as the greatest monomial factor.
the coefficient
(x + 1) and (x + 2) are monomial factors of the polynomial x2 + 3x + 2 (x + 1) and (x + 3) are monomial factors of the polynomial x2 + 4x + 3 (x + 1) is a common monomial factor of the polynomials x2 + 3x + 2 and x2 + 4x + 3
You divide each term of the binomial by the monomial, and add everything up. This also works for the division of any polynomial by a monomial.
3 x 5 x T
2•5•a•a•a•a
The coefficient.
G
11Cd
You can really factor monomials since they are only one term. 3xmxmxn is pretty all you can do. but technically this is not called factoring.
It is 7x3b
Any polynomial in which there are at least two co-prime coefficients will have 1 as the greatest monomial factor.
the coefficient
It is similar to finding the greatest common factor only you may have variables involved, so you may factor a constant and variable(s) which all terms are divisible by, for example: The common monomial factor in the following: 5x^2+5x would be 5x because both terms are divisible by 5 and x. 5x (x+1). Just find the constant and variable all terms are divisible by and then the product of those is your common monomial factor.
To factor a monomial, is to write the monomial as the product of two monomials. there are more than one possible answers when factoring For example if you had: 6x4 the answer could be -(2x3)(3x) -(2x2)(3x2) -(6x)(x3) -(x)(6x3) -(6x2)(x2)
(x + 1) and (x + 2) are monomial factors of the polynomial x2 + 3x + 2 (x + 1) and (x + 3) are monomial factors of the polynomial x2 + 4x + 3 (x + 1) is a common monomial factor of the polynomials x2 + 3x + 2 and x2 + 4x + 3
A number, a variable, or a product of a number and one or more variables. Ex: 3xy,x, and 14 are monomials.