Photomaster25 Photomaster25

02-10-2016
Mathematics

contestada

Write a polynomial function of minimum degree in standard form with real coefficients whose zeros include those listed.
i and -i

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apologiabiology apologiabiology

02-10-2016

for roots r1 and r2, the factors are (x-r1)(x-r2)

r1=i
r2=-i
don't forget i^2=-1

(x-i)(x-(-i))=(x-i)(x+i)=x^2-i^2=x^2-(-1)=x^2+1

the function is
f(x)=x^2+1

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