Multiplying Binomials Homework

Front

What is a binomial?

Back

A binomial is a polynomial that contains exactly two terms, such as (x + 4) or (3x - 5).

Front

What does it mean to multiply binomials?

Back

Multiplying binomials involves using the distributive property or the FOIL method to combine two binomials into a single polynomial.

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

Expand the expression: (x + 3)(x + 2)

Back

x^2 + 5x + 6

Front

What is the area of a rectangle with length (x + 2) and width (3x + 7)?

Back

3x^2 + 13x + 14 square units.

Front

What is the result of (x - 5)^2?

Back

x^2 - 10x + 25

Front

What is the product of (4x - 1)(4x + 1)?

Back

16x^2 - 1

Front

How do you simplify (2x + 4)(x - 8)?

Back

2x^2 - 12x - 32

Front

What is the equivalent expression for (x + 4)^2?

Back

x^2 + 8x + 16

Front

What does it mean to combine like terms?

Back

Combining like terms involves adding or subtracting terms that have the same variable raised to the same power.