The polynomial whose zeroes are 1, 2 and 3 is given by,
(x-1)(x-2)(x-3) = 0
(x-1)[x²-3x-2x+6]=0
(x-1)[x²-5x+6]=0
x[x²-5x+6] -1[x²-5x+6]=0
x³-5x²+6x-x²+5x-6=0
x³-6x²+11x-6=0
Therefore, the required polynomial is,
x³ - 6x² + 11x -6 = 0
-50 + 17 = - 33
-33 + 17 = -16
- 16 +17 =1
This is arithmetic sequence, where 1st term is -50,
and common difference is 17.
Formula for the term of arithmetic sequence
a(n) = a(1) +d(n-1) = -50 +17(n-1) = -50 +17n - 17 = -67 +17n
So, we can write a formula
a(n) = -67 +17n
Answer: She will have to spend 8 days on vacation before she will have bought a total of 16 souvenirs.
Step-by-step explanation:
Given: Ann bought 4 souvenirs during 2 days of vacation.
Per day she buys =
souvenirs [unit rate]
To buy 16 souvenirs , she will take 
= 8 days.
Hence, she will have to spend 8 days on vacation before she will have bought a total of 16 souvenirs.
Answer:
4x degrees= 52 degrees
(2x+12) degrees= 38 degrees
Step-by-step explanation:
4(13)=52
(2(13)+12)=38
