Question

If the zeroes of a function are 3, 4, and -2i, which is the function?



g(x) = x4 – 7x2 + 12x + 48



g(x) = x4 – 7x3 + 16x2 – 28x + 48



g(x) = x4 – x3 + 14x2 – 28x – 48



g(x) = x4 + x3 – 14x2 + 16x – 48

Answer 1

@Ahmad-nedal can you help

Answer 2

Will it's quiet simple but a kinda headache :p
Of course as a start, if -2i is solution, then 2i must also be one

Answer 3

if the zeros are 3,4 and -2i there has to be a 4th zero of +2i

so we have (x-3)(x-4)(x+2i)(x-2i) from here we expand

Answer 4

A function that has these zeroes is (x-3)(x-4)(x-2i)(x+2i)

Answer 5

right so ? how would I solve for x

Answer 6

well the function

Answer 7

You required to find the function that satisfies the conditions given, so expand and you're finished