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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

Analyze each polynomial function using Steps 1through 8:

f(x)=x4-x3-6x2+4x+8.

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

f(x)=3x3+4x2+4x+1

Use the Factor Theorem to prove that x-c is a factor of

xn-cn for any positive integer n.

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

2x3-3x2-3x-5=0

Solve each inequality algebraically.

(x-1)(x+1)x鈮�0
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