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
Answer: 15m + 5n
Step-by-step explanation:
so, first off, we take the number outside of the parentheses and multiply it by everything that's inside of the parentheses.
(5)3m + 5(n)
then, we just multiply all of those together.
15m + 5n
Answer: 9
Step-by-step explanation: Basically what f(-2) means is -2 = x. So you put in -2 wherever x appears. This would turn the equation to -3(-2) + 3 which goes to 6+3.
