Determine the total number of roots of each polynomial function using the factored form. f (x) = (x + 2) (x - 1) [x - (4 + 3i) ][x - (4 - 3i) ]

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Mathematics

Aydan Spears

1 February, 15:11

Determine the total number of roots of each polynomial function using the factored form. f (x) = (x + 2) (x - 1) [x - (4 + 3i) ][x - (4 - 3i) ]

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Anton · Answer 1

There are always the same number of roots as there are powers of x. So in this case, there are 4 x's and therefore there are 4 roots of the polynomial.

It is important to note that there are only 2 real roots though. The last two roots in this equation are not real due to the number 'i' being included in both of them.