Q:

Given one factor of the polynomial, factor the polynomial completely.f(x) = x^3 - 4x^2 - 7x + 10; X - 5​

Accepted Solution

A:
Answer:The factors are (x  - 1)(x - 5)(x + 2).Step-by-step explanation:Long division:x - 5 )x^3 - 4x^2 - 7x + 10( x^2 + x - 2 <--------- Quotient.         x^3 - 5x^2                    x^2 - 7x                     x^2 - 5x                            - 2x + 10                             -2x + 10                               ...........x^ 2 + x - 2 = (x + 2)(x - 1).