One of the zeros is given for each of the following polynomials. Find the other zeros in the field of complex numbers.x^3-4x^2+6x-4.1-i is a zero

Khaleesi Herbert

Khaleesi Herbert

Answered question

2021-09-12

One of the zeros is given for each of the following polynomials. Find the other zeros in the field of complex numbers.
x34x2+6x4.1i is a zero

Answer & Explanation

diskusje5

diskusje5

Skilled2021-09-13Added 82 answers

We have given one roots of the polynomial x34x2+6x4 is 1-i then other root will be 1+i since, roots of polynomial occur in complex conjugate.
Now, we have to find just one real roots.
For check x=2 we see
x34x2+6x=(2)34(2)2+6(2)4
=816+124
=0
Therefore, x=2 is a real root of the function.
Therefore, another two roots of the polynomials are 2,1+i

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