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 is the FOIL method in multiplying binomials?

Back

The FOIL method stands for First, Outside, Inside, Last, and is a technique used to multiply two binomials.

Front

How do you multiply two binomials?

Back

To multiply two binomials, use the distributive property or the FOIL method to combine like terms.

Front

What is a coefficient in a polynomial?

Back

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

Front

What is a term in a polynomial?

Back

A term in a polynomial is a single mathematical expression that can be a constant, a variable, or a product of constants and variables.

Front

What does it mean to simplify a polynomial expression?

Back

Simplifying a polynomial expression means combining like terms and reducing the expression to its simplest form.

Front

What is the result of multiplying (x + 5)(x + 4)?

Back

The result is x² + 9x + 20.

Front

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

Back

The result is x² + 5x + 6.