Answer:
Volume: 52 Units Squared
Surface Area: 94 units.
Step-by-step explanation:
The volume is relatively simple to find. Just subtract the original volume by the 2x2x2 cube's volume. The original volume is 60. The cube's volume is 2x2x2 which is 8. 60-8=52.
The surface area is harder to find. Try to envision the corner of the rectangle being cut out. We see that each side of the cube has a surface area of 2x2 which is 4. In the picture, we see that three sides of the rectangle has been partially removed. But since each side of the cube has an equal surface area, it is safe to minus 3 of the sides that has been partially removed by 3. However, since that it is the corner, the "dent" that the cube made in the rectangle also needed to be counted. As we said, each of the sides of a cube has a surface area of 4, so since that the dent has 3 sides, we see that the surface area of the dent is 4x3 which is 12. Now we need to count the unaffected sides of the rectangle. There are three of them. Just multiply the edges to find the surface area of each side. Add all of the values up: 11+16+12+8+15+12+20=94 units.
D 13+24=37 because minus -24 can be written as plus 24
In order to factor a polynomial 
, we have to find all its roots 
so that we can rewrite the polynomial as
This is exactly the same idea we apply when we factor numbers: we look for all the primes that divide the number, and then we write
When talking about polynomials, the idea of prime numbers is represented by irreducible polynomials, i.e. polynomials with no roots.
So, we have to find a root of our polynomial. Using the rational root theorem, we can check that 
is a solution:
So, our polynomial is divisible by 
. The long division yields
Which is the same as
We can complete the factorization by breaking the quadratic equation: using the standard quadratic formula we can find the solutions
Which implies
And finally
