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Chapter 4: Q. 38 (page 216)

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

f(x)=x4+3x3-19x2+27x-252

Short Answer

Expert verified

The complex roots of the polynomial is3i,-3i

Step by step solution

01

Given information

We are given a polynomial

f(x)=x4+3x3-19x2+27x-252

02

Factor the polynomial

We have,

x4+3x3-19x2+27x-252=0(x2+9)(x+7)(x-4)=0(x-3i)(x+3i)(x+7)(x-4)=0

03

Conclusion

The complex roots of the polynomial is3i,-3i

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Most popular questions from this chapter

In Problems 21鈥�32, determine the maximum number of real zeros that each polynomial function may have. Then list the potential rational zeros of each polynomial function. Do not attempt to find the zeros.

f(x)=3x4-3x3+x2-x+1

Graph each rational function using transformations.

R(x)=1+2(x-3)2

Find the vertical, horizontal, and oblique asymptotes, if any, of each rational function.

G(x)=x4-1x2-x

Find the domain of the rational function.

F(x)=3xx-12x2-5x-3

Graph each rational function using transformations.

R(x)=x2-4x2
See all solutions

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