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?

Question

two possible “first” integers

two possible “second” integers

the two consecutive odd integers with a product of 255

a possible “first” integer and a possible “second” integer

Answer 1

Writing in quadratic form:

x^2+2x-255=0

b^2=4, 4ac=1020

We get -2+-32/2,

x=-17 or 15, using the zero property

Answer 2

Two Possible First Integers:

x(x+2)=255

x^2 + 2x - 255 = 0

(x + 17 )(x - 15 ) = 0

x+17=0 or x-15=0

x=-17 or x = 15

so -17 * -15 = 225 OR 15*17 = 225