Solve the equation by factoring.

Question

x³ + 5x² - x - 5 = 0

 

How do I solve this step by step?

Answer 1

x³+5x²-x-5=0

x²(x+5)-1(x+5)=0

(x+5)(x²-1)=0

(x+5)(x-1)(x+1)=0

 

Setting each of these factors = 0 and then solving for x yields

 

x=-5,1,-1

 

 

Good Luck

 

Cheers

 

-Chris

Answer 2

x³ + 5x² - x - 5 = x²(x + 5) - (x + 5) = (x + 5)(x² - 1) = (x + 5)(x - 1)(x + 1) = 0

 

x = -5, 1, -1