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Use factoring and the zero product property to solve the following: z(z+1)(z+3)=0
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`z(z+1)(z+3) = 0`
The above function is already in the factorized form with z,(z+1) and (z+3) as factors.
`f(x) = z(z+1)(z+3)`
Using zero product property to f(x) = 0 we need either;
`z = 0`
`(z+1) = 0`
`(z+3) = 0`
So the values of z that satisfy f(x) = 0 are;
z = 0
z = -1
z = -3
Posted by jeew-m on July 16, 2013 at 4:37 PM (Answer #1)
Since the product of the three factors, z, (z+1) and (z+3), equals zero one of the factors must equal zero according to the zero product property. Therefore either
z=0,z+1=0, or z+3=0
solve each equation for z and your answer is
z+1-1 =0-1 so z=-1
z + 3-3 = 0-3 so z = -3
Posted by mtester on July 17, 2013 at 2:06 PM (Answer #2)
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