Question

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

x³-6x² + 3x + 10 = 0

c. x = 1, -2, or 5
a. x = 1, 2, or -5
b. x=-1, 2, or -5
d. x = -1, 2, or 5

Answer 1

D,x=-1,2,or 5

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