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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

Find the real zeros of f. Use the real zeros to factor f.

f(x)=x3-8x2+17x-6

Find the domain of the rational function.

Rx=4xx-3

Solve the inequality algebraically.

x4<9x2

Graph each rational function using transformations.

R(x)=x-4x

Solve the inequality algebraically

x3-2x2-3x>0
See all solutions

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