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

What does it mean to multiply monomials?

Back

Multiplying monomials involves multiplying the coefficients (numerical parts) and adding the exponents of like bases.

Front

What is the product of 5x and 4x^3?

Back

20x^4

Front

How do you simplify -3x^2(7x^2 - x + 4)?

Back

-21x^4 + 3x^3 - 12x^2

Front

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

Back

2x^3 + 3x^2

Front

What is the product of 2n^4 and 6n^4?

Back

12n^8

Front

What is the simplified form of x^3 ⋅ x^6?

Back

x^9

Front

What is the rule for multiplying powers with the same base?

Back

When multiplying powers with the same base, add the exponents.

Front

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

Back

The coefficient is 7.

Front

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

Back

The degree is 7 (5 from x and 2 from y).