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Sagot :
Given:
[tex]x^2+6x+8=0[/tex]Ann took the following steps below:
Step 1: (x + 2) (x + 4) = 0
Step 2: x + 2 = 0 or x + 4 = 0
STep 3: x = -2 or x = -4
Let's determine the property Ann used in step 2.
In step 2, we have:
x + 2 = 0 or x + 4 = 0
The property of real numbers used in step 2 is the zero product property of multiplication .
In the zero product property of zero, take the example:
xy = 0
Apply the zero product property, we have:
x = 0 or y = 0
In Ann's step, in step 1 we have:
(x + 2)(x+4) = 0
Apply the xero product property of multiplictaion, we have:
x + 2 = 0 or x + 4 = 0
Therefore, the property of real numbers Ann used for step 2 was zero product property of multiplication.
ANSWER:
D. Zero product property of multiplication
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