SOLUTION: Find an​ nth-degree polynomial function with real coefficients satisfying the given conditions. If you are using a graphing​ utility, use it to graph the function and v
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Question 1129188: Find an nth-degree polynomial function with real coefficients satisfying the given conditions. If you are using a graphing utility, use it to graph the function and verify the real zeros and the given function value.
n=3;
-3 and 3+5i are zeros;
f (1) = 116
f(x)= Found 3 solutions by stanbon, MathTherapy, greenestamps:Answer by stanbon(75887) (Show Source):
You can put this solution on YOUR website! Find an nth-degree polynomial function with real coefficients satisfying the given conditions. If you are using a graphing utility, use it to graph the function and verify the real zeros and the given function value.
n=3;
-3 and 3+5i are zeros;
f (1) = 116
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Since the coefficients are Real Numbers 3-5i is also a zero.
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f(x) = a(x+3)(x-3-5i)(x-3+5i)
f(x) = a(x+3)[(x-3)^2-(25i^2)]
f(x) = a(x+3)(x^2-6x+9+625)
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Solve for "a"::
116 = a(1+3)(1-6+634)
116 = a(4)(629)
a = 0.046
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f(x) = 0.46(x+3)(x^2-6x+634)
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Cheers,
Stan H.
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You can put this solution on YOUR website!
Find an nth-degree polynomial function with real coefficients satisfying the given conditions. If you are using a graphing utility, use it to graph the function and verify the real zeros and the given function value.
n=3;
-3 and 3+5i are zeros;
f (1) = 116
f(x)=
(