Now, suppose one of the roots of the polynomial function is complex. the roots of the function are 2 + i, and 5. write the equation for this polynomial function.

which of the following must also be a root of the function?

–3

–5

2 – i

2i

Answer-

The equation of polynomial-

must also be a root of the function.

Solution-

Complex Conjugate Root Theorem-

For a real coefficient polynomial P(x), if is a root then will also be a root of P(x).

As is a root of the function, so will also a root of the function.

All the roots of the functions are,

So,

n=9

step-by-step explanation:

7 times a number = 7n

decreased by 13 = 7n-13

same as is =

5 times the number = 5n

increased by 5 = 5n+5

7n-13 = 5n+5

2n=18

n=9