Asked by Sarah
Determine a polynomial function of degree 3 with real coefficients whose zeros are
ƒ{2, 1+i .
ƒ{2, 1+i .
Answers
Answered by
Steve
don't grok the <u>ƒ{</u> part, but as for the rest, since complex roots occur in conjugate pairs,
p(x) = (x-2)(x-(1+i))(x-(1-i))
= (x-2)((x-1)-i)((x-1)+i)
= (x-2)(x^2-2x+1 + 1)
...
p(x) = (x-2)(x-(1+i))(x-(1-i))
= (x-2)((x-1)-i)((x-1)+i)
= (x-2)(x^2-2x+1 + 1)
...
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