QUIZ ON SEQUENCE AND POLYNOMIALS

1.  What is the next number in the sequence 2,4,6,8,_?

• 10

• 12

• 14

• 16

1.     Which of the following illustrates an arithmetic sequence?

•     3, 6, 12, 24, …

• B.    2, 4, 6, 8, 10

•     1, 1, 2, 3,5, …

• 5,5,5,5,5

Which of the following defines a Fibonacci sequence? 

• It is a sequence such that the reciprocals of the terms form an arithmetic sequence.

• It is a sequence where every term after the first is obtained by adding a constant called the common difference. 

• It is a sequence where its first two terms

  is either both 1, or 0 and 1; and each

  term, thereafter, is obtained by adding the two preceding terms. 

• D. It is a sequence where each term after the first is obtained by multiplying the preceding term by a nonzero constant called the common ratio. 

What is the geometric mean between 2 and 18?

• 6

• 10

• 20

• 36

Which of the following is a finite geometric sequence?  

• 2, 6, 18, 54, …

• 24, 12, 6, 3, …

• 5,8,11,14,..., 26

What is the divisor in the figure at the left?

• 5x - 5

• 0

What is the remainder?

• 5x - 5

• 0

A student is trying to use synthetic division to solve

(3x³ – 4x² – x + 1)  (x + 1).

 

What value should go in the box next?

• 4

• - 4

• 3

• - 3

Andy divided x⁴ + 3x² – 4x – 2

by x – 2 using synthetic division. Her work is shown below. Identify her mistake.

• Andy wrote the remainder incorrectly.

• Andy did not use a zero-place holder for the x³ term.

• Andy added instead of subtracting the rows.

• Andy should have used – 2 as his division since the divisor is

  x – 2.

What theorem states that x - c is a factor of a polynomial if and only if the remainder is zero.

• Remainder Theorem

• Algorithm

• Synthetic Division

• Factor Theorem