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Reptile [31]
4 years ago
11

How does the zero product property help you find the x intercept of y=x^2-x-12?

Mathematics
1 answer:
bija089 [108]4 years ago
8 0
We first factor this quadratic.  We want factors of c, -12, that sum to b, -1; -4(3) = -12 and -4+3 = -1, so those are the two we will use:
y=(x-4)(x+3)

The zero product property tells us that in order to get a product of zero, one of the factors must be zero.  This means either x-4=0 or x+3=0.  We solve both of these equations to find the roots, or x-intercepts:
x-4=0
x-4+4=0+4
x=4

x+3=0
x+3-3=0-3
x=-3
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