Adding, Subtracting and Multiplying 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, (2n^3)(3n^2) = 6n^(3+2) = 6n^5.

Front

What is the result of 2n^4 * 5n^4?

Back

10n^8.

Front

How do you subtract monomials?

Back

To subtract monomials, subtract their coefficients while keeping the variable part the same. For example, -15a - 9a = -24a.

Front

What is the result of subtracting 9a from -15a?

Back

-6a.

Front

What is the degree of a monomial?

Back

The degree of a monomial is the sum of the exponents of its variables. For example, the degree of 4x^2y^3 is 2 + 3 = 5.

Front

How do you combine like terms in a polynomial?

Back

Combine like terms by adding or subtracting their coefficients while keeping the variable part the same. For example, 10m^2n + 7mn^2 - m^2n = 9m^2n + 7mn^2.

Front

What is the result of 10m^2n + 7mn^2 - m^2n?

Back

9m^2n + 7mn^2.

Front

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

Back

30c^9.

Front

What is an exponent?

Back

An exponent is a number that indicates how many times to multiply the base by itself. For example, in 4^2, 2 is the exponent.