One of the zeros is given for each of the

David Young

David Young

Answered question

2021-12-11

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

Answer & Explanation

Edward Patten

Edward Patten

Beginner2021-12-12Added 38 answers

Step 1
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+6x4=(2)34(2)2+6(2)4
=8-16+12-4
=0
Therefore, x=2 is a real root of the function.
Step 2
Therefore, another two roots of the polynomials are 2,1+i

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