Multiply Monomial by Polynomial

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 is a polynomial?

Back

A polynomial is an expression that consists of variables, coefficients, and non-negative integer exponents, combined using addition, subtraction, and multiplication.

Front

How do you multiply a monomial by a polynomial?

Back

To multiply a monomial by a polynomial, distribute the monomial to each term of the polynomial and combine like terms if necessary.

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 in a sum.

Front

Multiply: 4m(3m^7 + 2m^5)

Back

12m^8 + 8m^6

Front

Simplify: 5(3x + 2)

Back

15x + 10

Front

Multiply: -7x(3x^2 + 4x + 1)

Back

-21x^3 - 28x^2 - 7x

Front

Multiply: -8x(x - 8)

Back

-8x^2 + 64x

Front

What are like terms?

Back

Like terms are terms that have the same variable raised to the same power, allowing them to be combined.

Front

What is the degree of a polynomial?

Back

The degree of a polynomial is the highest power of the variable in the expression.