Mathematics: Which of the following is a polynomial with roots 4, 2i, and −2i? f(x) = x3 − 4x2 + 8x − 4 f(x) = x3 − 8x2 + 16x − 4 f(x) = x3 − 4x2 + 4x − 16 f(x) = x3 − 4x2 + 8x − 16

Which of the following is a polynomial with roots - id43419150, weisenbergertay5779

Ответ:

katherineweightman

07.01.2022

If the roots are r1,r2,r3, the facotred polynomail looksl ike this
f(x)=(x-r1)(x-r2)(x-r3)

given
roots 4,2i and -2i

f(x)=(x-4)(x-2i)(x-(-2i))
f(x)=(x-4)(x-2i)(x+2i)
expand
f(x)=x³-4x²+4x-16
3rd option

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Ответ:

AM28

24.06.2020

Mathematics

Step-by-step explanation:

12:20

3:x

12/3=4

20/4=5

i'm sorry cuz i don't know how to show the truth working

hope it'll help you

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Which of the following is a polynomial with roots 4, 2i, and −2i?
f(x) = x3 − 4x2 + 8x − 4
f(x) = x3 − 8x2 + 16x − 4
f(x) = x3 − 4x2 + 4x − 16
f(x) = x3 − 4x2 + 8x − 16

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