For the polynomial function use the remainder theorem and sy

For the polynomial function, use the remainder theorem and synthetic division to find f(k); f(x) = 3x^2 + 48, k = 4i

Solution

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Given f(x) = 3x^2 + 48

Also given k = 4i

Now f(4i) = 3 (4i)^2 + 48

= 3 (-16) + 48

= 0

Clearly since x = 4i satisfies the polynomial and leaves remainder as 0, Hence by remainder theorm (x-4i) shall be a zero of the givenn polynomial.

Thank you