Question

One of the factors of x3+ 8x2 - x -8 is​

Answer 1

Answer:

all the factors of x³+ 8x² - x -8

Are x+1 , x-1 , x+8

Step-by-step explanation:

x³+ 8x² - x -8

x² ( x +8) - 1 ( x+8)

(x²-1)(x+8)

(x² - 1²)(x+8)

[USING IDENTITY  a² - b² = (a+b)(a-b)

Here , a = x , b = 1 ]

(x+1)( x-1)(x+8)

Therefore all the factors of x³+ 8x² - x -8

Are x+1 , x-1 , x+8

Answer 2

Answer:

a³-b³=(a-b)(a²+ab+b²)

x³-8=(x-2)(x²+2x+4)

(x³-8)/(x²+2x+4)=(x-2)

(x-2) IS a factor of x³-8…………