Adam is using the equation x times open paren x plus 2 close paren is equal to 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
a possible “first” integer and a possible “second” integer
B
the two consecutive odd integers with a product of 255
C
two possible “first” integers
D
two possible “second” integers
Explanation
In x(x + 2) = 255, x represents the first integer and x + 2 represents the next odd integer. Rewriting gives x² + 2x − 255 = 0, which factors as (x + 17)(x − 15) = 0, so x is −17 or 15. These are two possible first integers; the matching second integers are −15 and 17.
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