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Comparison of Algebraic Expressions: Option 1, Option 2, and Option 3
Option 1 (x−2)(x+3)=7
Option 2 x(x+3)=0
Option 3 (x+3)^2−1=0
It is only possible to use the Zero Product Property on one of the options in this table. Which option can the Zero Product Property be used on to find the zeros of the function?
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Option 2.
Zero Product Property applies when a product equals 0. Option 2 is x(x+3)=0, so x = 0 or x = −3.
(Option 1 equals 7 so ZPP doesn't apply. Option 3 can be solved by rewriting (x+3)^2−1 = (x+2)(x+4)=0, giving x = −2 or −4, but as written it isn’t already a product equal to 0.)
Zero Product Property applies when a product equals 0. Option 2 is x(x+3)=0, so x = 0 or x = −3.
(Option 1 equals 7 so ZPP doesn't apply. Option 3 can be solved by rewriting (x+3)^2−1 = (x+2)(x+4)=0, giving x = −2 or −4, but as written it isn’t already a product equal to 0.)
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