SOLUTION: explain what the product of zero principle is and provide an example

Question 322636: explain what the product of zero principle is and provide an example
Answer by jessica43(140) (Show Source): You can put this solution on YOUR website!
The zero product property says that if we have two numbers 'a', and 'b' such that 'a * b = 0'; then either a=0, b=0, or both equal 0.
Example 1:
(x+1)(x-2) = 0
According to the property, either (x+1)=0 or (x-2)=0 or both (x+1) and (x-2) equal 0.
So we want to solve each equation to find the value of x:
(x+1) = 0
x= -1
(x-2) = 0
x=2
So in this example, x can equal either -1 or 2 to make the equation true.
Example 2:
x(10x-35) = 0
x=0, so there is nothing to solve here
(10x-35)=0
10x=35
x=3.5
So for this example, your two solutions are x=0 and x=3.5.
I hope this helps!
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