P dollars is invested at annual interest rate r for 2 years. If the interest is compounded annually then the polynomial P(1 + r) 2 represents the value of the investment after 2 years. First we are...

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Answered Same DayDec 22, 2021

Answer To: P dollars is invested at annual interest rate r for 2 years. If the interest is compounded annually...

David answered on Dec 22 2021
115 Votes
Sol: (1)
2
2
First we are asked to rewrite the polynomial expression without any parenthesis
.
This means we need to FOIL the binomial 1 and then multiply all terms by P.
2
1
2
r
r
P
 
 
 
 
 
 
2
The original expression
1 1 A squared quantity multiplies itself
2 2
1 The expression after FOIL was carried out
2 2 4
1
r r
P
r r r
P
P r
  
   
  
 
   
 

2
2
Like terms are combined with
4 2 2
Pr P The is distributed across the trinomial
4
It could also be noted that unlike traditional pol
r r r
r
r
P P
 
   
 
 
ynomials this one is not in descending
order of the variable r, but rather in...
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