How do you write a polynomial with zeros 2,-2,-6i?

Question

How do you write a polynomial with zeros 2,-2,-6i?

1 Answer

Impact of this question

2723 views around the world

You can reuse this answer
Creative Commons License

Answer 1 · 2016-02-20T09:31:08

Polynomial is $x^{3} + 6 i x^{2} - 4 x - 24 i$ $x^3+6ix^2-4x-24i$

Explanation:

A polynomial with zeros as $a, b, c$ $a, b, c$ is $(x - a) (x - b) (x - c)$ $(x-a)(x-b)(x-c)$ , as each of $a, b, c$ $a, b, c$ make the vale of polynomial zero

Hence, A polynomial with zeros as $2, - 2, - 6 i$ $2, -2, -6i$ is

$(x - 2) (x - (- 2)) (x - (- 6 i))$ $(x-2)(x-(-2))(x-(-6i))$ i.e.

$(x - 2) (x + 2) (x + 6 i)$ $(x-2)(x+2)(x+6i)$ or

$(x^{2} - 4) (x + 6 i)$ $(x^2-4)(x+6i)$ or

$x^{3} + 6 i x^{2} - 4 x - 24 i$ $x^3+6ix^2-4x-24i$

Science

Math

Humanities

... and beyond

How do you write a polynomial with zeros 2,-2,-6i?

1 Answer

Explanation:

Related questions

Impact of this question