Sis In order to identify the zeros of the function, a student factored the cubic function () = --f of, open x close, equals, x cubed, minus 3, x squared, minus 10 x as shown. Describe and correct the error the student made

f (x) = x (x-5) (x+2)

Step-by-step explanation:

Since the steps of the factorization of the polynomial f (x) is not given, I will proceed to give the correct factorization of f (x).

f (x) = x³-3x²-10x

First, we factor out x since it is a common term.

f (x) = x (x²-3x-10)

Next, we factorize the quadratic expression x²-3x-10.

f (x) = x (x²-5x+2x-10)

f (x) = x (x (x-5) + 2 (x-5))

f (x) = x (x-5) (x+2)

The correct factorization of the polynomial f (x) = x³-3x²-10x is: f (x) = x (x-5) (x+2)