# How do you write a polynomial in standard form given zeros 1,5,3-i?

##### 1 Answer

Apr 14, 2016

#### Explanation:

Complex roots occur in conjugate pairs. So, as

The roots are 1, 5,

The biquadratic having these as roots is in the form

and

Alternative method:

The factors of the polynomial are

The biquadratic equation is

Expand and write the terms, in the order of descending powers of x.

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