SOLUTION: Determine the equation of the cubic polynomial which cuts the x-axis at x =1/2 , touches the x-axis at x = −3, and passes through (1, 24).

Algebra ->  Equations -> SOLUTION: Determine the equation of the cubic polynomial which cuts the x-axis at x =1/2 , touches the x-axis at x = −3, and passes through (1, 24).       Log On


   

Question 1098866: Determine the equation of the cubic polynomial which cuts the x-axis at x =1/2
, touches the x-axis at
x = −3, and passes through (1, 24).

Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
f%28x%29=a%28x-1%2F2%29%28x%2B3%29%5E2
So when x=1,
f%281%29=a%281-1%2F2%29%281%2B3%29%5E2=24
a%281%2F2%29%284%29%5E2=24
a=48%2F16
a=3
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.
f%28x%29=3%28x-1%2F2%29%28x%2B3%29%5E2
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