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91Ó°ÊÓ

use the given zero to find the remaining zeros of each function.

g(x)=x3+3x2+25x+75;zero:-5i

Short Answer

Expert verified

The zeros of the polynomial is5i,-5i,3

Step by step solution

01

Given information

We are given an equationg(x)=x3+3x2+25x+75

02

Find the zeros by factoring method

We have,

g(x)=x3+3x2+25x+75x3+3x2+25x+75=0x2(x+3)+25(x+3)=0(x2+25)(x+3)=0(x-5i)(x+5i)(x+3)=0

03

Conclusion

The zeros of the polynomial is5i,-5i,3

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