Multiplying Binomials 1

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 form of multiplying two binomials?

Back

The general form is (a + b)(c + d) = ac + ad + bc + bd.

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 do the terms 'First', 'Outside', 'Inside', and 'Last' refer to in the FOIL method?

Back

'First' refers to the product of the first terms, 'Outside' refers to the product of the outer terms, 'Inside' refers to the product of the inner terms, and 'Last' refers to the product of the last terms.

Front

How do you apply the FOIL method to (x + 7)(x + 9)?

Back

First: x*x = x^2; Outside: x*9 = 9x; Inside: 7*x = 7x; Last: 7*9 = 63. Combine to get x^2 + 16x + 63.

Front

What is the result of (x - 3)(x + 10) using the FOIL method?

Back

x^2 + 7x - 30.

Front

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

Back

x^2 - 9x + 8.

Front

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

Back

x^2 + 9x + 20.

Front

What is the result of (x + 12)(x - 12) using the difference of squares formula?

Back

x^2 - 144.

Front

What is the difference of squares formula?

Back

The difference of squares formula states that a^2 - b^2 = (a + b)(a - b).