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Include all relevant work please. 8. Find the general polynomial function of lowest possible degree with...

Include all relevant work please.
8. Find the general polynomial function of lowest possible degree with real number coefficients that has -2 and 3i as two of
8. Find the general polynomial function of lowest possible degree with real number coefficients that has -2 and 3i as two of its zeros. Leave in factored form. Also, give the degree of the function you find. 8. P(x) [4] Degree:
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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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