9
QuizMultiple Choice

Unit 3 Test - Submit your Show Your Thinking into Canvas

Question 9 • Integrated Math 2A - Mr. Katykhin 26

Adam is using the equation (x)(x + 2) = 255 to find two consecutive odd integers with a product of 255. When Adam solves the problem using the zero product property, what do those solutions represent?

Answer
A
two possible “first” integers
B
two possible “second” integers
C
the two consecutive odd integers with a product of 255
D
a possible “first” integer and a possible “second” integer

Explanation

Rewrite the equation as x(x + 2) − 255 = 0, which factors as (x − 15)(x + 17) = 0. The zero product property gives x = 15 or x = −17. Since x represents the first integer in the pair x and x + 2, these are two possible “first” integers; their corresponding second integers are 17 and −15.

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