Which polynomial function has a leading coefficient of 1 and roots (7 + i) and (5 – i) with multiplicity 1?
f(x) = (x + 7)(x – i)(x + 5)(x + i)
f(x) = (x – 7)(x – i)(x – 5)(x + i)
f(x) = (x – (7 – – (5 + – (7 + – (5 – i))
f(x) = (x + (7 – + (5 + + (7 + + (5 – i))

For this case we have the following polynomial:

We observe that the polynomial has 4 complex roots.

Where, part of the roots are given by:

Solution 1:

Solution 2:

By doing distributive property, it can be seen that the polynomial is of degree 4 and its leading coefficient is equal to 1.

option 3

step-by-step explanation:

(3rd option) - c