At Westonci.ca, we connect you with the best answers from a community of experienced and knowledgeable individuals. Explore comprehensive solutions to your questions from a wide range of professionals on our user-friendly platform. Get detailed and accurate answers to your questions from a dedicated community of experts on our Q&A platform.
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.
Thanks for using our service. We aim to provide the most accurate answers for all your queries. Visit us again for more insights. We appreciate your visit. Our platform is always here to offer accurate and reliable answers. Return anytime. Get the answers you need at Westonci.ca. Stay informed by returning for our latest expert advice.
