Multiplying Monomials and Polynomials

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 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

What is the Distributive Property?

Back

The Distributive Property states that a(b + c) = ab + ac, meaning you can distribute a factor across a sum.

Front

Multiply: 2x^2(x + 5)

Back

2x^3 + 10x^2

Front

Use the Distributive Property: x^3(2x^2 + 3x)

Back

2x^5 + 3x^4

Front

Multiply: 5x(5x + 5)

Back

25x^2 + 25x

Front

Multiply: x(x + 4)

Back

x^2 + 4x

Front

Simplify: x^3(2x^2 + 3x)

Back

2x^5 + 3x^4

Front

What is the degree of a polynomial?

Back

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

Front

What is a coefficient in a polynomial?

Back

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