Get Lesson 3 Homework Practice Multiply And Divide Monomials

When a monomial is multiplied by another monomial, their product will be a monomial only. A monomial is an expression that has only one term in it. The coefficients of the monomials are multiplied together and then the variables are multiplied. For example, the product of two monomials, say 2x and 2y is equal to 4xy.

Multiplication of Monomials When you multiply monomials, first multiply the coefficients and then multiply the variables by adding the exponents. Note that when you multiply monomials with same base, you can add their exponents.

Division of monomials means product of their quotient of numerical coefficients and quotient of their literal coefficients. i.e. when 15mn is divided by 3m, the quotient is 5n. i.e. when 15mn is divided by 5n, the quotient is 3m.

5:00 12:42 Multiplying and Dividing Monomials - YouTube YouTube Start of suggested clip End of suggested clip And now let's divide. So this is going to be 3 minus 9 which is negative 6. And because we have aMoreAnd now let's divide. So this is going to be 3 minus 9 which is negative 6. And because we have a negative exponent. Let's move the a variable from the top to the bottom.

0:00 3:09 So now let's look at a couple together what we're going to do is simplify the coefficients just theMoreSo now let's look at a couple together what we're going to do is simplify the coefficients just the same as you would a fraction. And then use the quotient rule to simplify the variables.

A monomial is a polynomial, which has only one term. A monomial is an algebraic expression with a single term but can have multiple variables and a higher degree too. For example, 9x3yz is a single term, where 9 is the coefficient, x, y, z are the variables and 3 is the degree of monomial.

Lesson Summary Let's review the three steps you need to do when dividing a polynomial by a monomial. First step: rewrite the problem and divide each term in the polynomial by the monomial. Second step: divide the numbers. Third and final step: divide the variables.