Question

What are the factors of the expression (y − 6)(x + 5)?

a. The factors of the expression are (y - 6) and (x + 5).
b. The factors of the expression are (y - 6), (x + 5), (x - 6), and (y + 5).
c. The factors of the expression are (y + 6) and (x - 5).
d. The expression cannot be factored.

Answer 1

The factors of the expression (y − 6)(x + 5) are the two binomials (y - 6) and (x + 5), making choice a the correct answer.

Step-by-step explanation:

The factors of the expression (y − 6)(x + 5) are simply the two binomials (y - 6) and (x + 5) that are being multiplied together. When an expression is written as a product of two or more other expressions, each of those expressions is called a factor. In choice b, the other pairs listed such as (x - 6) and (y + 5) are not correct because they do not appear in the original expression and would give a different product if combined. Therefore, the correct answer is a: The factors of the expression are (y - 6) and (x + 5).