Question

Ann's solution to an equation is shown below.Given x^2 +6x + 8 = 0Step 1: (x + 2) (x + 4) = 0Step 2: x + 2 = 0 or x +4 = 0Step 3: x= -2 or x = -4Which property of real numbers did Ann use for step 2?A. Multiplication property of equality B. Commutative property of multiplicationC. Distributive property of multiplication over additionD. Zero product property of multiplication

Answer 1

Given:

`x^2+6x+8=0`

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