Multiply Monomials

Front

What is a monomial?

Back

A monomial is a polynomial with only one term, which can be a constant, a variable, or a product of constants 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 the exponents of like bases.

Front

What is the product of (3c^2)(10c^7)?

Back

The product is 30c^9.

Front

What is the result of multiplying 6k^2 by k?

Back

The result is 6k^3.

Front

What does it mean to simplify an expression?

Back

To simplify an expression means to combine like terms and reduce it to its simplest form.

Front

What is the result of -8x(x - 8)?

Back

The result is -8x^2 + 64x.

Front

How do you distribute a monomial across a binomial?

Back

To distribute a monomial across a binomial, multiply the monomial by each term in the binomial.

Front

What is the simplified form of x^2(2x + 3)?

Back

The simplified form is 2x^3 + 3x^2.

Front

What is the result of 5x(4x^3 + 8)?

Back

The result is 20x^4 + 40x.

Front

What is the degree of a monomial?

Back

The degree of a monomial is the sum of the exponents of its variables.