Add/Subtract Poly and Multiply Binomials

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

What does it mean to add polynomials?

Back

To add polynomials, combine like terms by adding their coefficients while keeping the variable parts the same.

Front

What does it mean to subtract polynomials?

Back

To subtract polynomials, change the signs of the terms in the polynomial being subtracted and then combine like terms.

Front

What is a binomial?

Back

A binomial is a polynomial that contains exactly two terms, such as (x + 5) or (3y - 2).

Front

How do you multiply two binomials?

Back

To multiply two binomials, use the distributive property (FOIL method) to multiply each term in the first binomial by each term in the second binomial.

Front

What is the FOIL method?

Back

FOIL stands for First, Outside, Inside, Last. It is a method used to multiply two binomials by multiplying the first terms, outside terms, inside terms, and last terms.

Front

What is the result of (a + b)(a - b)?

Back

The result is a² - b², which is known as the difference of squares.

Front

What is the formula for the square of a binomial (a + b)²?

Back

The formula is a² + 2ab + b².

Front

What is the formula for the square of a binomial (a - b)²?

Back

The formula is a² - 2ab + b².

Front

How do you simplify (p - 8)²?

Back

Using the formula for the square of a binomial, (p - 8)² = p² - 16p + 64.