# How do you find the number of roots for f(x) = 4x^3 – 20x – 50 using the fundamental theorem of algebra?

Dec 25, 2015

The degree of the polynomial will let u determine the number of roots the polynomial has

#### Explanation:

for
$f \left(x\right) = 4 {x}^{3} - 20 x - 50$

The hoghest exponent is cube, which is 3
So the degree of the polynomial equation is 3rd degree
So the number of roots $f \left(x\right) = 4 {x}^{3} - 20 x - 50$ will have is 3
Even if the 2 roots are equal, they are still counted as 2 roots because of its multiplicity