enter the polynomial

Question

Form a polynomial f(x) with real coefficients having the given degree and zeros.
Degree 5; zeros: - 7 ; - i ; 9 + i

Answer 1

(x+7)(x-i)(x+i)(x-9+i)(x-9-i)

(x+7)(x²+1)((x-9)²+1)

(x+7)(x²+1)(x²-18x+82)

 

x⁵-11x⁴-43x³+563x²-44x+574

 

Answer 2

The other roots are i and 9-i.

The polynomial is (x+7)(x² + 1)(x² - 18x+80)

 

I will let you do the 2 remaining multiplications.