Find all of the zeros and write a linear factorization of the function f(x)=x^3+4x-5

The given polynomial f(x) can be factorized as

Step-by-step explanation:

Here, the given function is:

Now If we try and put any arbitrary value say x = 1, we get

 , or f(1) = 0

⇒ x =1 is the zero of the  given polynomial.

⇒ (x-1) is the ROOT of the Polynomial.

Now, dividing the polynomial, with this root, we get:

⇒ (x+5) is the another ROOT of the Polynomial.

So, the given polynomial p(x) has two zeroes 1 and -5.

Hence, the given polynomial f(x) can be factorized as