Question

Use the x-intercept method to find all real solutions of the equation.

Answer 1

Answer:

D,x=-1,2,or 5

Step-by-step explanation:

1. Factor x³-6x² + 3x + 10 = 0

(x + 1)(x + 2)(x + 5)=0

2. Using the Zero Factor Principle : If ab=0 then a=0 or b=0

x + 1 = 0 or x - 2 = 0 or x - 5 = 0

• Solve x + 1 = 0 : x = -1
• Solve x - 2 = 0 : x = 2
• Solve x - 5 = 0 : x = 5

The solutions are

x = -1 , x = 2 , x = 5