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

i and - i

Question

Mathematics

Zachery Coffey

3 March, 16:12

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

i and - i

+3

Answers (1)

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Frederick Chapman · Answer 1

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

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

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

i and - i