Multiplying 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.

Front

What is the general formula for multiplying two binomials (a + b)(c + d)?

Back

The general formula is ac + ad + bc + bd.

Front

What is the result of (x - 1)(x - 8)?

Back

x² - 9x + 8.

Front

What is the result of (x + 7)(x - 2)?

Back

x² + 5x - 14.

Front

What is the result of (x - 7)(x + 7)?

Back

x² - 49.

Front

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

Back

x² + 9x + 20.

Front

How do you identify the coefficients in a polynomial?

Back

The coefficients are the numerical factors in front of the variables in each term of the polynomial.

Front

What is the FOIL method in multiplying binomials?

Back

FOIL stands for First, Outside, Inside, Last, which refers to the order in which you multiply the terms of the binomials.

Front

What is the difference between a monomial, binomial, and polynomial?

Back

A monomial has one term, a binomial has two terms, and a polynomial has more than two terms.

Front

What is the degree of the polynomial x² - 9x + 8?

Back

The degree is 2, which is the highest exponent of the variable.