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

Answer:

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