multiply binomials

Front

What is a binomial?

Back

A binomial is a polynomial that contains exactly two terms, which can be separated by a plus or minus sign, such as 5x + 11.

Front

What is the result of multiplying the binomials (r + 7)(r - 7)?

Back

The result is r² - 49, which is derived from the difference of squares formula.

Front

What is the difference of squares formula?

Back

The difference of squares formula states that a² - b² = (a + b)(a - b).

Front

How do you multiply two binomials using the FOIL method?

Back

FOIL stands for First, Outside, Inside, Last. Multiply the first terms, then the outside terms, then the inside terms, and finally the last terms, and combine like terms.

Front

What is the product of (x + 5)(x - 3)?

Back

The product is x² + 2x - 15.

Front

What does it mean to factor a polynomial?

Back

Factoring a polynomial means expressing it as a product of its factors, which can be binomials or monomials.

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, such as ax² + bx + c.

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 leading coefficient of a polynomial?

Back

The leading coefficient is the coefficient of the term with the highest degree in a polynomial.

Front

What is the process of expanding a binomial?

Back

Expanding a binomial involves multiplying it out to express it as a polynomial.