Question

Tina mailed a package in a container shaped like a

Answer 1

Answer:

The volume of a rectangular prism is simply the product of its three dimensions: in your case, the volume of the prism is, given  

x

,

(

x

+

6

)

(

x

−

2

)

(

x

−

1

)

.

A polynomial is a sum (with some coefficients) of powers of  

x

, so, if we expand the product just written, we have

(

(

x

+

6

)

(

x

−

2

)

)

(

x

−

1

)

=

(

x

2

−

2

x

+

6

x

−

12

)

(

x

−

1

)

=

(

x

2

+

4

x

−

12

)

(

x

−

1

)

=

x

3

+

4

x

2

−

12

x

−

x

2

−

4

x

+

12

=

x

3

+

3

x

2

−

16

x

+

12

Which is a polynomial, and expresses the volume of the prism

Step-by-step explanation:

The volume of a rectangular prism is simply the product of its three dimensions: in your case, the volume of the prism is, given  

x

,

(

x

+

6

)

(

x

−

2

)

(

x

−

1

)

.

A polynomial is a sum (with some coefficients) of powers of  

x

, so, if we expand the product just written, we have

(

(

x

+

6

)

(

x

−

2

)

)

(

x

−

1

)

=

(

x

2

−

2

x

+

6

x

−

12

)

(

x

−

1

)

=

(

x

2

+

4

x

−

12

)

(

x

−

1

)

=

x

3

+

4

x

2

−

12

x

−

x

2

−

4

x

+

12

=

x

3

+

3

x

2

−

16

x

+

12

Which is a polynomial, and expresses the volume of the prism