Question

Felipe's solution to an equation is shown below.

Given: x² + 6x +8=0
Stepl: (x+2)(x+4)=0
Step2: x+2 =0 or X+4=0
Step3: x=-2 or x=-4

Which property of real numbers did Felipe use for step 2?
A. Distributive property of multiplication over addition

B. Multiplication property of equality

C. Commutative property of multiplication

D. Zero product property of multiplication

Answer 1

D. Zero product property of multiplication

Explanation:

The property of real numbers that Felipe used for step 2 is Zero product property of multiplication.

The zero product property of multiplication states that if any two factors of an algebraic expression is multiplied together and equated to zero, at least one of the expressions is equal to zero.

In the above question, factorising the algebraic expression above, we have two factors:

(x+2) and (x+4),

(x+2) (x+4) = 0

Hence,

x+2 =0 or X+4=

Therefore, Option D is correct.