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Chapter 4: Q. 23 (page 215)

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

f(x)=x3-4x2+4x+16 zero = 2i

Short Answer

Expert verified

The zeros of the polynomial is4,2i,-2i

Step by step solution

01

Given information

We are givenf(x)=x3-4x2+4x-16

02

Find the roots by factoring

Consider,

x3-4x2+4x-16=0x2(x-4)+4(x-4)=0(x-4)(x2+4)=0(x-4)(x-2i)(x+2i)=0

03

Conclusion

The zeros of the polynomial is4,2i,-2i

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Most popular questions from this chapter

True or False : A test number for the interval-2<x<5could be 4.

x3+2x2-3x>0

In Problems 63–72, find the real solutions of each equation.

x4-2x3+10x2-18x+9=0

In Problems 21–32, 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)=-4x3-x2+x+2

Solve the given inequality algebraically.

x+1x-1>0
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