Question

1 is a given zero of the function f(x)=3x^3 - 10x^2+11x -41. Find all zeros 2. Give the complete factorization of f(x).

Answer 1

For this case we have the following polynomial:

`f(x)=3x^3-10x^2+11x-4`

3 -10 11 -4

1 3 -7 4

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3 -7 4

1 3 -4

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3 -4 0

Therefore we have:

`(x-1)(x-1)(3x-4)=0`

then tje zeros are:

`x=1,x=(4)/(3)`