SOLUTION: Factor completely x^4+2x^3-3x-6 and this one x^8-1

Question 198878: Factor completely x^4+2x^3-3x-6
and this one x^8-1
Found 2 solutions by jim_thompson5910, Earlsdon:
Answer by jim_thompson5910(35256) (Show Source): You can put this solution on YOUR website!
# 1

Start with the given expression

Group like terms

Factor out the GCF out of the first group. Factor out the GCF out of the second group

Since we have the common term , we can combine like terms

So factors to

# 2

Start with the given expression.

Rewrite as .

Rewrite as .

Notice how we have a difference of squares where in this case and .

So let's use the difference of squares formula to factor the expression:

Start with the difference of squares formula.

Plug in and .

So this shows us that factors to .

In other words .

-------------------------------------------------

Now let's factor

Start with the given expression.

Rewrite as .

Rewrite as .

Notice how we have a difference of squares where in this case and .

So let's use the difference of squares formula to factor the expression:

Start with the difference of squares formula.

Plug in and .

So this shows us that factors to .

In other words .

So this means that factors to

----------------------------------------------------------------

Now let's factor

Start with the given expression.

Rewrite as .

Rewrite as .

Notice how we have a difference of squares where in this case and .

So let's use the difference of squares formula to factor the expression:

Start with the difference of squares formula.

Plug in and .

So this shows us that factors to .

In other words .

So this means that factors to

============================================================

Answer:

So completely factors to
Answer by Earlsdon(6294) (Show Source): You can put this solution on YOUR website!
Factor completely:
1) Factor by grouping:
Notice the sign change in the second group. Now factor from the first group and 3 from the second group.
Finally, factor the common

2) Rewrite as the difference of squares.
Factor.
Factor the as the difference of squares Factor the
Factor the as the difference of squares.

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