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

Mathematics

1 answer:

Dima020 [189]2 years ago

4 0

Answer:

<h3>Step-by-step explanation:</h3>

<h3>1. Factor x³-6x² + 3x + 10 = 0</h3>

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

<h3>2. Using the Zero Factor Principle : If ab=0 then a=0 or b=0</h3>

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

<h3>The solutions are</h3>

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

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