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Sagot :
Answer:
D. Zero product of multiplication
Step-by-step explanation:
The given equation is presented as follows;
Given: x² + 6·x + 8 = 0
By factorization, to find numbers represented by variables, 'a' and 'b', such that a + b = 6 and a×b = 8, we have, a = 2, and b = 8 as a possible solution by observation
Step 1: (x + 2)·(x + 4) = 0
Given that (x + 2) × (x + 4) = 0, we have
Step 2: x + 2 = 0 or x + 4 = 0, by zero product of multiplication
The zero-product property states that the when two non zero numbers are multiplied, the result is nonzero
Therefore, when two numbers are multiplied, and have a result of zero, for example, i × j = 0, then, either, i = 0, or j = 0
By the zero-product rule, either, (x + 2) = 0, or (x + 4) = 0
Therefore, we have;
Therefore;
Step 3: x = -2 or x = -4
The property of real numbers Felipe's use for step 2 is the Zero product of multiplication.
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