Synthethic and Remainder Theorem
Give the ramainder when x2+ 5x - 6 is divided by x +2
-12
Give the factors of x2 - 7x - 30
(x - 10) (x + 3)
What is the common difference of the sequence -1, -5, -9, -13, ...
-4
Give the common ratio of 4/3 ,4, 12, 36, ...
3
The factored form of x2 + 2x + 1
(x+1)(x+1) or (x+1)2
Give the remainder when x25 - 1 is divided by x -1
0
If one of the factors of 5x3 + 15x2 - 25x is x2+ 3x - 5, what is the other facto?
5x
Give the common difference of 7, 5, 3, 1, ...
-2
Give the common ratio of 1, -2, 4, -8, 16, ...
-2
Give the leading coefficient of the Polynomial x2 - 2x + 4x3 - x5 +4
-1
What is the remainder if x2000 - x1999 + 2001 is divided by (x +1)?
2003
Is (x-2) a factor of x3 + 3x2 +2x -24?
YES
How many terms are there in an arithmetic sequence with a first term of 8, common difference of 5 and last term of 53.
10
Find the 10th term of the geometric sequence given the third term is 1 and th 8th tern is 32.
128
A polynomial equation whose roots are {1, -1, 2} is__
x3-2x2 - x +2 = 0
What is the remainder if x25 + 45x -100 is divided by (x - 1)?
-54
If x+ 1 and x - 2 are factors of x3-4x2+x +6, what is the other factor?
x-3
The first term of an arithmetic sequence is 9 and the 20th term is 108. Find the sum of the first 20 terms of the sequence.
1170
What is the sum of the geometric sequence 2, 1, 1/2,...
4
The perimeter of an equilateral triangle is (15x + 6) cm. What is the length of each side?
(5x + 2) cm
Give the remainder if x1001 - x2005 + 1 is divided by (x+ 1).
-1
Is x-5 a factor of x3 + 125?
No
The venue for the seminar expected to have 15 seats in the first row, 20 seats on the second row, 25 seats on the third row. Each successive row contains five additional seats. How many seats are there in the 10th row?
60 seats
Mr. Cabrillas is conducting an experiment to observe the growth of bacteria. He records the original count of bacteria as 15. If the number increases by 2% every hour, how many bacteria will be there after 7 hours?
Give the equation.
a7 = 15(1.02)6
Find all the roots of the polynomial equation x3+ 6x2+5x = 0
{0, -1, -5}