Answer:
Choice b.
.
Step-by-step explanation:
The highest power of the variable
in this polynomial is
. In other words, this polynomial is quadratic.
It is thus possible to apply the quadratic formula to find the "roots" of this polynomial. (A root of a polynomial is a value of the variable that would set the polynomial to
.)
After finding these roots, it would be possible to factorize this polynomial using the Factor Theorem.
Apply the quadratic formula to find the two roots that would set this quadratic polynomial to
. The discriminant of this polynomial is
.
.
Similarly:
.
By the Factor Theorem, if
is a root of a polynomial, then
would be a factor of that polynomial. Note the minus sign between
and
.
- The root
corresponds to the factor
, which simplifies to
. - The root
corresponds to the factor
, which simplifies to
.
Verify that
indeed expands to the original polynomial:
.
Answer:
Check image
Step-by-step explanation:
3 times as much as 40
40 x 3
40 + 40 + 40
40
40
40
----
120
120 is the answer
Answer:
The power for the volume of the cube is '3'.
Exponent form of the volume is 
Volume of the cube is
inch³.
Step-by-step explanation:
We are given,
A cube with side equal to
inches.
As we know,
Volume of a cube = 
Thus, we get,
Volume of the given cube is,
Volume =
i.e. Volume =
inch³
Thus, we have,
The power for the volume of the cube is '3'.
Exponent form of the volume is 
Volume of the cube is
inch³.