To find the common monomial factor of a set of monomials, first identify the variables and their corresponding exponents in each monomial. Next, determine the smallest exponent for each variable that appears in all the monomials. Finally, combine the variables with their corresponding smallest exponents to form the common monomial factor. This factor will be the largest monomial that can be factored out from each original monomial.
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.
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.
you foil it out.... for example take the first number or variable of the monomial and multiply it by everything in the polynomial...
Common factors
(a-b)2 = (a-b)(a-b). You have to multiply each term in the left monomial by each term in the right monomial: a2 - ab - ab + b2 = a2 - 2ab + b2.
Multiply each term of the binomial by the monomial. Be particularly careful with signs: (+ times +) or (- times -) equals plus or Like signs = + (+ times -) or (- times +) equals minus or Unlike signs = -
To find the GCF of each pair of monomial of -8x³ and 10a²b², we can use the following steps: Write the complete factorization of each monomial, including the constants and the variables with their exponents. -8x³ = -1 ⋅ 2 ⋅ 2 ⋅ 2 ⋅ x ⋅ x ⋅ x 10a²b² = 2 ⋅ 5 ⋅ a ⋅ a ⋅ b ⋅ b Identify the common factors in both monomials. These are the factors that appear in both factorizations with the same or lower exponent. The common factors are: 2 Multiply the common factors to get the GCF. GCF = 2 Therefore, the GCF of each pair of monomial of -8x³ and 10a²b² is 2.
To find the GCF of each pair of monomials of 10a and lza²b, we can use the following steps: Write the complete factorization of each monomial, including the constants and the variables with their exponents. 10a = 2 ⋅ 5 ⋅ a lza²b = lz ⋅ a ⋅ a ⋅ b Identify the common factors in both monomials. These are the factors that appear in both factorizations with the same or lower exponent. The common factors are : a Multiply the common factors to get the GCF. GCF = a Therefore, the GCF of each pair of monomial of 10a and lza²b = a
Well, honey, the least common multiple of a monomial like a^3s and s^2 is simply a^3s^2. You just gotta take the highest power of each variable that appears in either monomial, slap 'em together, and there you have it. Math made sassy.
When you simplify each of those expressions you get 120xy, 210xy and 216xy. The GCF of those is 6xy because it divides evenly into all of them.
A degree of a monomial is simply what exponent or power the monomial is raised to. Key: ^ means "raised to the power of" -5t^2 means the degree is 2, the number is -5, and the variable which is being put to the power of, is t. the degree has a little trick, however. If there are three monomials or more, being added or subtracted, to make a polynomial, and each has a degree (lone variable has a degree of 1) and the monomial that has the highest degree represnts the whole polynomial's degree.