Answer:
Third zero is 4
Step-by-step explanation:
The polynomial is;
f(x) = x³ − 4x² − 3x + 12
We are given 2 zeros which are √3 and -√3.
This means that a factor of the polynomial will b; (x² - 3) because when it is equated to zero, x will be √3 and -√3.
Now, to get the other factor of the polynomial, we have to divide x³ − 4x² − 3x + 12 by (x² - 3) using long division method.
I have attached this long division method and we have the third factor as; (x - 4)
Equating to zero, we have x = 4 as the third zero of the polynomial
