##
What are the solutions? x3-8x²-x+8=0 Question 5 options: (8,1,-1) (8,1)

Question

Lost your password? Please enter your email address. You will receive a link and will create a new password via email.

Lorem ipsum dolor sit amet, consectetur adipiscing elit.Morbi adipiscing gravdio, sit amet suscipit risus ultrices eu.Fusce viverra neque at purus laoreet consequa.Vivamus vulputate posuere nisl quis consequat.

## Answers ( No )

In order to answer this, we must factor x3-8×2-x+8=0

We can make 2 pairs of 2 terms in order to make the factoring easier,

(x3-8×2)+(-x+8)=0

Now we can begin to factor each pair of terms one at a time,

x2(x-8)-(x-8)=0

We can see that we have 2 (x-8)s so that is our common and we have x2-1 (we can’t see the 1 because anything times 1 equals itself so we don’t need to put it there).

(x2-1)(x-8)=0

Expand,

(x+1)(x-1)(x-8)=0

In order for 0=0, we must find values of x that will make 0=0

When x=1

(1+1)(1-1)(1-8)=0

2 x 0 x -7=0

0=0

When x=8

(8+1)(8-1)(8-8)=0

9 x 7 x 0=0

0=0

When x=-1

(-1+1)(-1-1)(-1-8)=0

0 x -2 x -9=0

0=0

Therefore, the answer is x=8,1,-1 or (8,1,-1)