Question

What is the complete factorization of the polynomial below? x^3+ 5x^2- x-5

Answer 1

Answer:

(x-1)(x+1)(x+5)

Step-by-step explanation:

x^3+5x^2 - x-5=

x^3-x+5x^2-5=

x(x^2-1) +5(x^2 - 1)=

(x^2- 1)(x+5)=(*)

(x-1)(x+1)(x+5)

(*) A^2 - B^2 =(A-B)(A +B)