If a polynomial function f(x) has roots -9 and 7 - i, what must be a factor of f(x)?

Solution:

Polynomial functions are expressions that may contain variables of varying degrees, non-zero coefficients, positive exponents, and constants. Constants are whole numbers that occur at the end of a polynomial expression. 

It is given that

The roots of a polynomial function f (x) are - 9 and 7 - i

We can write it as

x = - 9 and x = 7 - i

So we get

x + 9 = 0 and x - 7 + i = 0

Therefore, the factors of f(x) is (x + 9) and (x - 7 + i).

If a polynomial function f(x) has roots -9 and 7 - i, what must be a factor of f(x)?

Summary:

If a polynomial function f(x) has roots -9 and 7 - i, the factor of f(x) is (x + 9) and (x - 7 + i).