Multiplying 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 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 standard form of a polynomial?

Back

The standard form of a polynomial is written in descending order of the degree of its terms.

Front

What does it mean to multiply polynomials?

Back

Multiplying polynomials involves using the distributive property to combine each term in one polynomial with each term in the other polynomial.

Front

What is the FOIL method?

Back

The FOIL method is a technique for multiplying two binomials, standing for First, Outside, Inside, Last, which refers to the order in which the terms are multiplied.

Front

How do you multiply a monomial by a polynomial?

Back

To multiply a monomial by a polynomial, multiply the monomial by each term of the polynomial individually.

Front

What is the result of multiplying (x + 2)(x + 3)?

Back

The result is x² + 5x + 6.

Front

What is the result of multiplying 5x(2x³ + 6)?

Back

The result is 10x⁴ + 30x.

Front

What is the result of multiplying (5x + 2)(x² - 3x + 6)?

Back

The result is 5x³ - 13x² + 24x + 12.

Front

What is the square of a binomial?

Back

The square of a binomial (a + b)² is equal to a² + 2ab + b².