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Find a cubic polynomial function f with real coefficients that has the given zeros and the given function value.

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Find a cubic polynomial function f  with real coefficients that has the given zeros and the given function value.

Zeros                                            Function Value

-1, 2 + i                                           f (2) = - 9

asked Jan 27, 2015 in TRIGONOMETRY by anonymous

1 Answer

0 votes

Step 1:

Zeros of cubic function are

Using complex conjugate root theorem is a zero of the polynomial function.

image

image

image

Apply the formula image.

image

image

image

image

Step 2:

Function value is image.

image

image

image

image

Substitute image in image.

image

image.

Solution:

The cubic polynomial function is  image.

answered Jan 28, 2015 by david Expert

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