Answer:

Step-by-step explanation:
We are given the polynomial:

And we want to determine the value of <em>k</em> such that (<em>x</em> - 2) is a factor of the polynomial.
Recall that the Factor Theorem states that a binomial (<em>x</em> - <em>a</em>) is a factor of a polynomial P(x) if and only if P(a) = 0.
Our binomial factor is (<em>x</em> - 2). Thus, <em>a</em> = 2.
Hence, by the Factor Theorem, P(2) must equal zero.
Find P(2):

This must equal zero. Hence:

In conclusion, <em>k</em> = 34/3.
Answer:
1025
Step-by-step explanation:
1542-517=1025
For this case we have that the volume of the figure is composed of the volume of a prism and the volume of a pyramid:
The volume of the prism is given by:

Where:
: It is the area of the base
h: It's the height
Substituting:
The volume of the pyramid is given by:

Where:
It is the area of the base
h: It's the height
Substituting:

We add and we have:

ANswer:
Option D
Second answer if it still helps
1n=n Answer:
Step-by-step explanation:
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