Multiply and Divide Monomials

Front

What is a monomial?

Back

A monomial is a polynomial with only one term, which can be a number, a variable, or a product of numbers and variables raised to non-negative integer powers.

Front

How do you multiply two monomials?

Back

To multiply two monomials, multiply their coefficients and add their exponents for like bases. For example, (3x^2)(4x^3) = 12x^(2+3) = 12x^5.

Front

What is the product of x^3 and x^6?

Back

x^9

Front

What is the result of multiplying 6x and 2x^2?

Back

12x^3

Front

What is the rule for dividing monomials?

Back

To divide monomials, divide their coefficients and subtract the exponents of like bases. For example, (8x^5)/(4x^2) = 2x^(5-2) = 2x^3.

Front

What is the result of dividing x^8 by x^3?

Back

x^5

Front

What does it mean to simplify a monomial expression?

Back

Simplifying a monomial expression means to combine like terms and reduce the expression to its simplest form.

Front

What is the result of 4(p - 6)?

Back

4p - 24

Front

What is the coefficient in the monomial 7x^2?

Back

7

Front

What is the degree of the monomial 5x^4y^2?

Back

The degree is 6, which is the sum of the exponents (4 + 2).