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

Algebra ->  Polynomials-and-rational-expressions -> 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      Log On


   

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) About Me  (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

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