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What are coefficients of an expression?
A numerical or constant quantity placed before and multiplying the variable in an algebraic expression (e.g., 4 in 4xy).
How is multiplying rational numbers like multiplying fractions and multiplying decimals?
Fractions and decimals are usually rational numbers. Besides, multiplying rational and irrational numbers is also similar.
Can polynomials have radicals?
no only the coefficients can. like rad 5 but not x or y
What are examples of monomials?
A monomial is any mathematical term that can be simplified down to one term. The term MONO means one and that is where the definition comes from.Examples:8xx58x9There are millions of monomials that come in endless variety. More complex but not too complex monomials are:8+38+3 is a monomial because it can be simplified to 11. You have been learning monomials since Kindergarten, the only difference is that now there is a fancy word for those simple mental math problems.
What does polynomials mean in mathematical terms?
It means the sum of several monomials.
How do you add monomials?
Adding monomials. Add together like terms. Example 4x + 5x. Add the coefficients. Example 4 + 5 = 9. Keep the base which was x. So the answer to 4x + 5x = 9x
What are the steps and rules for adding and subtracting monomials?
A monomial is a polynomial that has just one term. So to add or subtract monomials, is the same as we add or subtract like terms (terms that have exactly the same variable part). Since we are dealing with monomials, the restriction is that the exponent(s) of the variable(s) must be positive integer(s). Examples of monomials: 10xy, -5xy2, -3x2, 3w3z6, -7xy, -4x2, 2xy2, 9w3z6. So, how to add or subtract them? First detect where the like terms (monomials) are, then group them (write them next to each other), then combine (ad or subtract their coefficients, and write next to the result the common variable part). 10xy -7xy = 3xy (subtract since the coefficients have different sign). -5xy2 +2xy2 = -3xy2 (subtract since the coefficients have different sign). -3x2 -4x2 = -7x2 (add because the coefficients have the same sign). 3w3z6 + 9w3z6 = 12w3z6 (add because the coefficients have the same sign).
Do you always use the property of distribution when multiplying monomials and polynomials?
Yes.
Do you have to use the distributive property when multiplying two monomials together?
no because it is only one term and it really can not
What is important when dividing monomials?
Divide coefficients and subtract exponents of the same variable. EX: (20 x6) / (4 x2) = 5 x4
How do you find the GCF of a set of monomials?
Find the gcf for the coefficients and find the smallest exponential for the variable(s), but the variable must be in all the monomial terms.
Two negatives equal what?
It is said that two negatives equal a positive when multiplying them with coefficients.
Division of Monomials and Polynomials by Monomials?
to multiplya polynomial by a monomial,use the distributive property and then combine like terms.
What is 5b x 12b?
60b2 you multiply the coefficients then the exopnients 5b1 (next to variables there are invisible exonients) x 12b1 ______ 60b2 (when multiplying like variables you add the exponients)
What are the laws of exponent when multiplying monomials?
When multiplying monomials, the exponent rules depends on its placement. For example, (3x)^2 would be 9(x^2). However, 3x^2 is simply 3(x^2). (xy)^2 means you have to use the F.O.I.L. method, meaning x*x + x*y + y*y, or x^2 + xy + y^2.
What is the relationship between monomials binomials and trinomials?
A binomial is the sum of two monomials. A trinomial is the sum of three monomials. A polynomial is the sum of one or more monomials.A binomial is the sum of two monomials. A trinomial is the sum of three monomials. A polynomial is the sum of one or more monomials.A binomial is the sum of two monomials. A trinomial is the sum of three monomials. A polynomial is the sum of one or more monomials.A binomial is the sum of two monomials. A trinomial is the sum of three monomials. A polynomial is the sum of one or more monomials.
Whatdo we do when adding monomials?
You add like terms together.
