Question

The zero product property states that if a . b = 0, then a = 0, b = 0, or both a = 0 and

b=0.
Speculate as to how you think this property might help you when you solve algebraic
equations of the form: (x-r) (xs) = 0.

Answer 1

We all know that if one factor is equal to zero, then the product of all factors is equal to zero.

`ab = 0` so
`a = 0` or
`b=0`

You have to rewrite the equation as a factored quadratic set both equal to zero.

Example:
`(x-r_(1) )(x+r_(2)) =0\\` to
`(2-2)(-2+2) =0`

`r_(1) = -2 r_(2) = 2`

`x = 2, -2`

I hoped this helped