Find all the zeros and write a linear factorization of g(x)=x^4-8x^3+27x^2-50x+50 given that 1+2i is a zero

g(x)= (x-(1+2i)) * (x-(1-2i)) * (x-(3-i)) * (x-(3+i))

Please see attached image

Step-by-step explanation:

We can easily solve this equation by using a technical solver or a programming language such as Octave.

The linear factorization of the equation can be obtained directly by finding the zeros of g(x)

Please see attached images for the answer to your problem

g(x)= (x-(1+2i)) * (x-(1-2i)) * (x-(3-i)) * (x-(3+i))

3/4 ÷ 3/4

step-by-step explanation:

basically divide any proper fraction with itself to fit the criteria.

so if we are using 3/4, then:

3/4 ÷ 3/4 = 1

so 1 is the quotient.

and the numerators for both these fractions is 3.   and if we divide the numerators:

3 ÷ 3 = 1

we see that quotient is equal to our original quotient as well.

$12. that is my answer.