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:
Sherry's Method of depositing $200 as a principal now with an interest at 4% compound at monthly will result in more money after two years.
Step-by-step explanation:
We use the Total Amount generated using compound interest formula to solve this question
Formula =
Total Amount(A) = P(1 + r/n)^nt
a) For Harrison
Principal = $200
Interest rate = 2% = 0.02
Time = 2 years
n = compounding quarterly = 4
A = P(1 + r/n)^nt
A = $2,000(1 + 0.02/4)^2×4
A = $2,000(0.005)^8
A = $ 2081.4140878
A = $ 2,081.41
b) For Sherry
Principal = $200
Interest rate = 4% = 0.04
Time = 2 years
n = compounding monthly = 4
A = P(1 + r/n)^nt
A = $2,000(1 + 0.04/12)^2×12
A = $2166.2859184
A = $ 2,166.29
The Total Amount for
Harrison = $ 2,081.41
Sherry = $ 2,166.29
Hence, from the above calculation, Sherry's Method of depositing $200 as a principal now with an interest at 4% compound at monthly will result in more money after two years.
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