Question

If a polynomial function f(x) has roots 4 – 13i and 5, what must be a factor of f(x)? (x (13 – 4i)) (x – (13 4i)) (x (4 13i)) (x – (4 13i))

Answer 1

The polynomial function f(x) with roots 4 – 13i and 5 have factor of x - (4 - 13)

What is an equation?

An equation is an expression that shows the relationship between two or more number and variables.

Polynomial function f(x) has roots 4 – 13i and 5. Hence:

x = 4 - 13i; and x = 5

x - (4 - 13) = 0; and x - 5 = 0

f(x) = [x - (4 - 13)](x - 5)

The polynomial function f(x) with roots 4 – 13i and 5 have factor of x - (4 - 13)

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