Answer:
17
Step-by-step explanation:
Do the exponent first, then subratct it to 81
 
        
             
        
        
        
Step-by-step explanation:

 
        
             
        
        
        
Given:
The expression is:

It leaves the same remainder when divided by x -2 or by x+1.
To prove:

Solution:
Remainder theorem: If a polynomial P(x) is divided by (x-c), thent he remainder is P(c).
Let the given polynomial is:

It leaves the same remainder when divided by x -2 or by x+1. By using remainder theorem, we can say that
 ...(i)
              ...(i)
Substituting  in the given polynomial.
 in the given polynomial.


Substituting  in the given polynomial.
 in the given polynomial.



Now, substitute the values of P(2) and P(-1) in (i), we get




Divide both sides by 3.


Hence proved.
 
        
             
        
        
        
Answer: 8x^2 -2
Explanation:
Think about it like your pluging in a number for x, like g(1) or g(x+1), but plug in the equation for f(x)
g(f(x))= -(-8x^2 -5) -7
=8x^2 +5 -7
=8x^2 -2
        
             
        
        
        
Answer:the first option
Step-by-step explanation: