Question

Find the product (1-x) (1+x+x^2) i need the WORKING pls answer thnx

Answer 1

Answer:

So we can start to write:

(

x

+

1

)

(

x

2

+

x

+

1

)

=

x

3

...

x

2

: This can result from

x

⋅

x

or

1

⋅

x

2

, so the coefficient is:

1

⋅

1

+

1

⋅

1

=

2

So we can add

+

2

x

2

to the result:

(

x

+

1

)

(

x

2

+

x

+

1

)

=

x

3

+

2

x

2

...

x

1

:

This can result from

x

⋅

1

or

1

⋅

x

, so the coefficient is:

1

⋅

1

+

1

⋅

1

=

2

So we can add

+

2

x

to the result:

(

x

+

1

)

(

x

2

+

x

+

1

)

=

x

3

+

2

x

2

+

2

x

...

x

0

:

The constant term can only result from multiplying the constant term of the binomial by that of the trinomial, so:

1

⋅

1

=

1

So our final result is:

(

x

+

1

)

(

x

2

+

x

+

1

)

=

x

3

+

2

x

2

+

2

x

+

1

Answer 2

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