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Chapter 4: Q. 36 (page 215)

find the complex zeros of each polynomial function. Write f in factored form.

f(x)=x4+13x2+36

Short Answer

Expert verified

The roots of the given polynomial3i,-3i,2i,-2i

Step by step solution

01

Given information

We are given a polynomialf(x)=x4+13x2+36

02

Factor the given polynomial

We get,

x4+13x2+36=0(x2+9)(x2+4)=0(x-3i)(x+3i)(x-2i)(x+2i)=0

03

Conclusion

The roots of the given polynomial is3i,-3i,2i,-2i

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United Parcel Service has contracted you to design a closed box with a square base that has a volume of 10,000cubic inches. See the illustration.

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