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Calculus, 8th Edition,stewart; page 34 problem 11

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Find an expression for a cubic function f if f (1) = 6 and f (-1) = f (0) = f (2) = 0.

asked Jul 29, 2015 in CALCULUS by anonymous

1 Answer

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Step:1

The functions are  and .

Here  are the zeros of .

If  then  is a factor of .

If  then  is a factor of .

If  then  is a factor of .

The cubic function is in the form of , where  are zeroes of the function.

                      (1)

Step:2

.

The function  at  is .

Substitute  and  in equation (1).

Substitute  in equation (1).

The cubic function is .

Solution:

The cubic function is .

answered Jul 30, 2015 by dozey Mentor

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