Multiplying by 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.

Front

What does it mean to multiply a monomial by a polynomial?

Back

Multiplying a monomial by a polynomial involves distributing the monomial to each term of the polynomial.

Front

What is the distributive property?

Back

The distributive property states that a(b + c) = ab + ac, allowing you to multiply a single term by each term inside a parenthesis.

Front

Calculate: 5(a + 6)

Back

5a + 30

Front

Calculate: -6x(x^2 - 7x)

Back

-6x^3 + 42x^2

Front

Calculate: 2(x + 4)

Back

2x + 8

Front

Calculate: 6(x + y + 7)

Back

6x + 6y + 42

Front

Calculate: 3(2c - 5)

Back

6c - 15

Front

What is the result of multiplying two monomials?

Back

The result is a monomial, obtained by multiplying the coefficients and adding the exponents of like bases.

Front

What is a coefficient in a monomial?

Back

A coefficient is a numerical factor in a term of a polynomial or monomial.