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) ]

Question

Mathematics

Belen Buchanan

17 February, 18:57

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) ]

+5

Answers (2)

Know the Answer?

Jett Patton · Answer 1

Its 3 for the first one

4 for the second one

5 for the third one

and 4 for the final

all on edge

Christina Munoz · Answer 2

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.