SOLUTION: For the polynomial, list each real zero and its multiplicity. Determine whether the graph crosses or touches the x-axis at each x -intercept.
f(x) = 3(x2 + 1)(x2 + 7)2
a)No r
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Question 772420: For the polynomial, list each real zero and its multiplicity. Determine whether the graph crosses or touches the x-axis at each x -intercept.
f(x) = 3(x2 + 1)(x2 + 7)2
a)No real zeros
b)-1, multiplicity 1, crosses x-axis; -7, multiplicity 2, touches x-axis
c)-1, multiplicity 1, touches x-axis; -7, multiplicity 2, crosses x-axis
d)1, multiplicity 1, crosses x-axis; -1, multiplicity 1, crosses x-axis;
-sqrt7, multiplicity 2, touches x-axis; -sqrt7, multiplicity 2, touches x-axis
Please show work (if possible), thanks guys I appreciate it :)
Answer by solver91311(24713) (Show Source): You can put this solution on YOUR website!
In order for your function to have real zeros, either 
or 
, so says the Zero Product Rule. But in general 
where 
has no real roots.
John
Egw to Beta kai to Sigma
My calculator said it, I believe it, that settles it
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