Answer: the factors are
(x - 1)(x + 2)(x + 7)
Explanation:
The given expression is a cubic expression. To factorize, we would test for values of x for which the expression is 0. Therefore,
When x = 1,
1³ + 8 × 1² + 5 × 1 - 14 = 0
0 = 0
Therefore, x = 1 satisfies the equation and x - 1 is a factor. To determine the remaining factors, we would apply long division method. The steps are shown in the attached photo.
Factorizing x² + 9x + 14, it becomes
x² + 7x + 2x + 14 = 0
x(x + 7) + 2(x + 7) = 0