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8. Find the general polynomial function of lowest possible degree with real number coefficients that has -2 and 3i as two of
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Answer #1

-2 ana si are two roots of it. so, -3 i also another boot of it. (as complen boots appears pairwise) Hence, P (n) = (n+2)(n-3as -2 ,3i , -3i are roots of it

So, factors are (x - (-2)) , ( x- (3i)) , (x - (-3i))

That is (x+2) , (x-3i) , (x+3i) are factor of P(x)

As their is 3 factor in it so degree must be 3

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