Question

(x+2)(x+6)=0 In the problem shown, to conclude that x + 2 = 0 or x + 6 = 0, one must use the: multiplication property division property zero product property transitive property

Answer 1

zero product property

Explanation:

Answer 2

zero product property

Explanation:

The Multiplication Property of Equality states that if you multiply both sides of an equation by the same number, the sides remain equal.

The Division Property of Equality states that if you divide both sides of an equation by the same nonzero number, the sides remain equal.

The Zero Product Property states that if
`a\cdot b=0`, then either
`a=0` or
`b=0` (or both).

The Transitive Property of Equality states if
`a = b` and
`b = c`, then
`a = c.`

`(x+2)(x+6)=0`

In the problem shown, to conclude that
`x + 2 = 0` or
`x + 6 = 0,` you need to use zero product property.