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mustang
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Problem 16.
Find a cubic polynomial with integral coefficients having 3i and -6 as zeros.
This is what I have done:
(x-r1)(x-r2)
(x-3i)(x+6)
x^2-6x-3ix+(-18i)
x^2-(6-3i)x+(-18i)
Is this right?
Problem 18.
If 2 is a zero of the polynomial P(x)=3x^2+kx-8, find k.
Find a cubic polynomial with integral coefficients having 3i and -6 as zeros.
This is what I have done:
(x-r1)(x-r2)
(x-3i)(x+6)
x^2-6x-3ix+(-18i)
x^2-(6-3i)x+(-18i)
Is this right?
Problem 18.
If 2 is a zero of the polynomial P(x)=3x^2+kx-8, find k.