Multiplication of Polynomials

Front

What is a polynomial?

Back

A polynomial is a mathematical expression consisting of variables, coefficients, and non-negative integer exponents, combined using addition, subtraction, and multiplication.

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 the degree of a polynomial?

Back

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

Front

What is the product of two monomials?

Back

To multiply two monomials, multiply their coefficients and add their exponents.

Front

Multiply: 3x * 4x^2

Back

12x^3

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 two or more terms inside a parenthesis.

Front

Use the distributive property: 2(x + 5)

Back

2x + 10

Front

Multiply: (x + 2)(x + 3)

Back

x^2 + 5x + 6

Front

What is the result of multiplying a polynomial by a monomial?

Back

Multiply each term of the polynomial by the monomial.

Front

Multiply: 5x^2(2x + 3)

Back

10x^3 + 15x^2