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 a mathematical 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 simplify.

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

Simplify: 5(3x + 2)

Back

15x + 10

Front

Simplify: -8x(x - 8)

Back

-8x² + 64x

Front

Simplify: -2x(x⁷ + 5)

Back

-2x⁸ - 10x

Front

Multiply the following polynomial by the monomial: -x³(2x³ - x² + 5)

Back

-2x⁶ + x⁵ - 5x³

Front

Multiply: 7y(5y² + 2y + 3)

Back

35y³ + 14y² + 21y

Front

What is the degree of a polynomial?

Back

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