By using the remainder theorem we found that ( x - 5 ) is the factor of function  f(x) = x³ – 5x² + 7x – 35.
<h3>What is factorization?</h3>
Factorization is defined as splitting the polynomial into its most simplified form. This factor satisfies the polynomials from which it is extracted.
The factorization by using the Remainder theorem.
  x - 5 )   x³ – 5x² + 7x – 35.( x ² + 7
              x³  -  5x²
              ______________
                 00         7x - 35 
                              7x - 35
               -------------------------
                                      00
Here the function is completely divided by the factor x - 5 therefore 
by using the remainder theorem we found that ( x - 5 ) is the factor of function  f(x) = x³ – 5x² + 7x – 35.
To know more about factorization follow
brainly.com/question/25829061
#SPJ1