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23-03-2020
Mathematics

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Find all zeros of f(x)=x^4+24x^2−25 by completely factoring the polynomial.

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hollandgrzesiak hollandgrzesiak

23-03-2020

Answer: x= -1, 1, 5i, -5i

Step-by-step explanation:

f(x)=x^4+24x^2+25

f(x)=(x^2-1)(x^2+25)

x^2-1=0

x^2=1

x= -1, 1

x^2+25=0

x^2=-25

x= -5i, 5

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