Question

Using the Factor Theorem, which polynomial function has the zeros 4 and 4 – 5i? x3 – 4x2 – 23x + 36 x3 – 12x2 + 73x – 164 x2 – 8x – 5ix + 20i + 16 x2 – 5ix – 20i – 16

Answer 1

As given by the question

There are given that the many equations in the option

Now,

From the option second:

$x^3-12x^2+73x-164$

The factor of the given equation is:

$x^3-12x^2+73x-164=(x-4)(x^2-8x+41)$

Then,

$(x-4)(x^2-8x+41)=(x-4)(4\pm5i)$

So, the zeros of the given equation is, 4, 4-5i, and 4+5i

Hence, the correct option is B.