SOLUTION: 1.) What is a polynomial function in standard form of degree 4 with zeros: -1, 2, 5i? 2.) Given f(x)=5x+1 Find f^-1(x) & verify the answer is correct by showing that (fo

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1.) For any polynomial equation with real coefficients, complex roots occur in conjugate pairs.
So, if 5i i.e. (0 + 5i) is a root then (0 - 5i) is the other root.
Hence, the 4 zeros are x = -1, 2, 5i, - 5i
Hence the polynomial is

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2.)
f(x) = 5x + 1
5x = f(x) - 1

Hence,

Verification:

3.a)




3.b)



4.) Try yourself!