Solve by factoring x^ 3 +8x^ 2 +5x-14=0

the factors are

(x - 1)(x + 2)(x + 7)

Step-by-step 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