SoT Reviews

SoT Reviews

SoT#1 arithmetic sequence

SoT#2 Geometric sequence

SoT#3 harmonic & fibonacci sequence

SoT#4 long division and synthetic division

SoT#5 Remainder and Factor Theorem

SoT#6 Rational Roots Theorem

SoT#7 Polynomial Functions I

Multiple Choice

It's refers to the constant difference in all pairs of consecutive or successive numbers in a sequence, denoted by the letter d.

• common monomial

• common difference

• common sense

• common multiple

Multiple Choice

Find the common difference of each pair of consecutive numbers.

7, 15, 23, 31 ....

• 5

• 6

• 7

• 8

Multiple Choice

Find the next term in the sequence below.

31, 24, 17, 10, __

• 2

• 3

• 4

• 5

Multiple Choice

 Divide the given polynomial using the long division method

 $\left(x^4-3x^3+2x^2-x+1\right)\div\left(x^2-x+1\right)$  

•  $x^2-2x-1+\ \frac{2}{x^2-x+1}$  

•  $x^2-2x-1$  

•  $x^2-2x-1+\ \frac{-2}{x^2-x+1}$  

•  $x^2-2x+1$  

Multiple Choice

Cam divided (x⁴ + 3x² - 4x - 2) by factor of (x-2) using synthetic division. His work is shown above. Which best describes his mistake?

• Cam wrote the remainder incorrectly.

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

• Cam added instead of subtracting the rows.

• Cam should have used -2 as his division since the factor was x-2.

Multiple Choice

What is the proper way to write the answer for the following problem?

• 2x³-x²-25x+12

• 2x⁴-x³-25x²-12x+0

• 2x³-x²-25x-12

• 2x⁴-x³-25x²-12x-0

Multiple Choice

If you are missing an exponent in your polynomial you must put a zero as a coefficient place holder for that exponent

• True
• False

Multiple Choice

What should be the order of the polynomial coefficients if
(3x - 4x³ + 6x⁴ + 1) / (x + 3)

• 3   0   -4   6   1
• 6   -4   3   1   0
• 6   -4   0   3   1
• -6   4   0   -3   -1

Multiple Choice

What is another way to say "where a function crosses the x-axis"?

• x-intercept
• zero
• root
• all of these.

Multiple Choice

Classify the function:

• quadratic
• cubic 
• quartic
• linear

Multiple Choice

How many roots or zeros does the equation
f(x) = 5x⁴-8x³+4x²-6x+3 have?

• 3
• 4
• 5
• 0

Multiple Choice

What is the degree of the polynomial function
P(x)=3x⁴-7x²-2x⁷-x+4?

• 4
• 7
• 2
• 1

Multiple Choice

What do we call this sequence: 1, 31, 61, 91,...

• Arithmetic Sequence

• Geometric Sequence

• Square Number Sequence

• Cube Number Sequence

Multiple Choice

What do we call this sequence: 1, 1, 2, 3, 5, 8,...

• Fibonacci Sequence

• Harmonic Sequence

• Square Number Sequence

• Triangular Sequence

Multiple Choice

What do we call this sequence: 1/2, 1/4, 1/6, 1/8...,

• Fibonacci Sequence

• Harmonic Sequence

• Square Sequence

• Cube Sequence

Multiple Choice

Is the sequence -432, 72, -12, 2,...geometric?

• yes
• no

Multiple Choice

What are the zeros of the function?

• 4,1
• 3,1,-2,-5
• -3, -1, 2, 5
• -2,4

Multiple Choice

What does a₁ represent?

• Any term

• First term

• Last term

Multiple Choice

What does r represent?

• Radical

• Common difference

• Common ratio

Multiple Choice

if f(x) = 3x² -9x -20, find the value of f(5) using synthetic division.

• 0
• 10
• 15
• -7

Multiple Choice

What is the remainder when      a³ - 4 is divided by a+2? 

• -2
• -6
• -12
• 0

Multiple Choice

What is the remainder R when the polynomial p(x) is divided by (x-5)?
p(x) = x³ - 5x² + 2x - 10

• 0
• 2x-10
• -2x-10
• 2x+10

Multiple Choice

The degree of the polynomial determines the number of roots.

• True
• False

Multiple Choice

Below are four possible zeros for this polynomial.

Figure out which one "works"

f(x) = x³ + 2x² - 11x - 12

• -3

• -4

• 1

• 6

Multiple Choice

What should you add to this problem?

(2x³ + 5x² + 9) ÷ (x + 3)

• 0x⁴

• 0x³

• 0x²

• 0x

Multiple Choice

 $\left(12x^2+2x-2\right)\div\left(3x-1\right)$  

• 4x - 2

• 4x + 2

• 4x - 2 + (1/3x - 1)

• 4x + 2 + (1/3x - 1)

Multiple Choice

256, 128, 64, 32, ...

How do you know what's next?

• NEXT = NOW • 2

• NEXT = NOW • 1/2

• NEXT = NOW + 2

• NEXT = NOW ÷ 1/2

Multiple Choice

Evaluate f(x)=-2x²+ 1 for f(-3)

• 19

• 37

• -17

• -11

Multiple Choice

Which function is not a polynomial in one variable?

• x³+3x-.5
• x⁴+3x²
• xY+7x⁴+12x-1
• x⁵