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Chapter 4: Q. 35 (page 215)

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

f(x)=x4+5x2+4

Short Answer

Expert verified

The zeros of the polynomial are2i,-2i,i,-i

Step by step solution

01

Given information

We are given a polynomialf(x)=x4+5x2+4

02

Find the zeros

We get,

x4+5x2+4=0(x2+4)(x2+1)=0(x-2i)(x+2i)(x-i)(x+i)=0

03

Conclusion

The zeros of the polynomial is2i,-2i,i,-i

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Most popular questions from this chapter

Find the domain of the rational function.

G(x)=6x+34-x

x3+2x2-3x>0

One solution of the equation x3+5x2+5x-2=0 is -2.

Find the sum of the remaining solutions.

True or False. The graph of a rational function may intersect

a horizontal asymptote.

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

f(x)=4x4-15x3-8x2+15x+4
See all solutions

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