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 does FOIL stand for in the context of multiplying binomials?

Back

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

Front

Multiply (x + 5)(x + 2). What is the result?

Back

x² + 7x + 10.

Front

What is the result of (x + 3)(x - 4)?

Back

x² - x - 12.

Front

How do you apply the FOIL method to (x + 1)(x + 4)?

Back

First: x*x = x²; Outside: x*4 = 4x; Inside: 1*x = 1x; Last: 1*4 = 4. Combine: x² + 5x + 4.

Front

What is the product of (2x + 3)(x + 5)?

Back

2x² + 10x + 3x + 15 = 2x² + 13x + 15.

Front

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

Back

The formula is ac + ad + bc + bd.

Front

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

Back

x² + x - 6.

Front

How do you multiply (x + 7)(x - 2) using the distributive property?

Back

Distribute each term in the first binomial to each term in the second: x*x + x*(-2) + 7*x + 7*(-2) = x² - 2x + 7x - 14 = x² + 5x - 14.

Front

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

Back

x² + 5x + 6.