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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

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 class=


Answer :

As given by the question

There are given that the many equations in the option

Now,

From the option second:

[tex]x^3-12x^2+73x-164[/tex]

The factor of the given equation is:

[tex]x^3-12x^2+73x-164=(x-4)(x^2-8x+41)[/tex]

Then,

[tex](x-4)(x^2-8x+41)=(x-4)(4\pm5i)[/tex]

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

Hence, the correct option is B.

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