document.write( "Question 322636: explain what the product of zero principle is and provide an example \n" ); document.write( "

Algebra.Com's Answer #230966 by jessica43(140) $\"\"$ $\"About$

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.\r
\n" ); document.write( "\n" ); document.write( "Example 1:
\n" ); document.write( "(x+1)(x-2) = 0
\n" ); document.write( "According to the property, either (x+1)=0 or (x-2)=0 or both (x+1) and (x-2) equal 0.
\n" ); document.write( "So we want to solve each equation to find the value of x:
\n" ); document.write( "(x+1) = 0
\n" ); document.write( "x= -1
\n" ); document.write( "(x-2) = 0
\n" ); document.write( "x=2
\n" ); document.write( "So in this example, x can equal either -1 or 2 to make the equation true.\r
\n" ); document.write( "\n" ); document.write( "Example 2:
\n" ); document.write( "x(10x-35) = 0
\n" ); document.write( "x=0, so there is nothing to solve here
\n" ); document.write( "(10x-35)=0
\n" ); document.write( "10x=35
\n" ); document.write( "x=3.5
\n" ); document.write( "So for this example, your two solutions are x=0 and x=3.5.\r
\n" ); document.write( "\n" ); document.write( "I hope this helps! \n" ); document.write( "

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