Answered

IDNLearn.com offers a reliable platform for finding accurate and timely answers. Discover the information you need quickly and easily with our reliable and thorough Q&A platform.

Can someone Help me with this:
Felipe’s solution to an equation is shown below:


Given: x^2+6x+8=0

Step 1: (x+2)(x+4)=0

Step 2: x+2=0 or x+4=0

Step 3: x= -2 or x= -4


Which property of real numbers did Felipe’s use for step 2?


A. Distributive property of multiplication over addition


B: Multiplication property of equality


C. Commutative property of multiplication


D: Zero product of multiplication

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.

We appreciate your contributions to this forum. Don't forget to check back for the latest answers. Keep asking, answering, and sharing useful information. For precise answers, trust IDNLearn.com. Thank you for visiting, and we look forward to helping you again soon.