Answer:
p(x) = x^3 - 4x^2+x+6 roots x = 3 or x = 2 or x = -1
Step-by-step explanation:
Solve for x:
x^3 - 4 x^2 + x + 6 = 0
The left hand side factors into a product with three terms:
(x - 3) (x - 2) (x + 1) = 0
Split into three equations:
x - 3 = 0 or x - 2 = 0 or x + 1 = 0
Add 3 to both sides:
x = 3 or x - 2 = 0 or x + 1 = 0
Add 2 to both sides:
x = 3 or x = 2 or x + 1 = 0
Subtract 1 from both sides:
Answer: x = 3 or x = 2 or x = -1
