Which expression represents the product of three consecutive odd integers?

a.

x( x+1)( x+2 )

b.

x( x+1)( x+3 )

c.

( x−1)( x )( x+1)

d.

( x−2 )( x )( x+2 )

$452.90 because you needed to round to the nearest cent

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(a) x intercepts: -6 and 2

you can obtain these by solving the equation 0=x^2 +4x-12 using your favorite quadratic formula. but it is easy to verify -6 and 2 indeed satisfy this equation.

(b) y intercept: -12

this is obtained by setting x=0: 0^2+4*0-12 = -12

(c) the minimum value is: -16 (this is the vertex)

you can get the vertex by rewriting the equation into the form:

there is no global or local maximum as the function goes to infinity, so only in the limit sense: +infinity.