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Potpourri
Synthetic Division
Factor Theorem
Remainder Theorem
Surprise Me !
100

In a basketball game, how many players from one team can be on the court at a time?

5

100

Answer the following using synthetic division:

(x2+5x+1) / (x+3)

x+2 + (-5/x+3)

100

Using the Factor theorem, determine if g(x) is a factor of f(x).

f(x)=x4+2x3+x+2

g(x)= x+1

Yes, (x+1) is a factor.

100

Evaluate each function at the given value.

f (x) = −x3 + 6x − 7 at x = 2

f(2)= -3

100

Use the remainder theorem to determine f(3) given 

x3-4x2-2x+20

f(3) = 5

200

What city is the greatest university in the world in? Hint: What would Ms. Main say?...

Ann Arbor

200

Answer the following using synthetic division:

(2x3-11x2+9x-20) / (x-5)

2x2-x+4

200

Using the Factor theorem, determine if g(x) is a factor of f(x).

f(x)=x5-2x4+5x3-10x2+6x-12

g(x)=x+3

No, (x+3) is not a factor of f(x).

200

Evaluate each function at the given value.

f (a) = a3 + 3a2 + 2a + 8 at a = −3

f(-3)= 2

200

Use the factor theorem to find the zeros of the following equation: x3-8x2+17x-10, given the zero of 5

x = 5, 2, 1

300

What is the largest mammal?

Blue whale

300

Answer the following using synthetic division:

(2x3+4x2-3x-6)/ (x+3)

2x2-2x+3+ (-15/(x+3))

300

Use the Factor theorem to find the factors of:

f(x)=x3-4x2-4x+16, given the x value of -2

(x-4)(x-2)(x+2)

300

Evaluate the function at the given value

f (a) = a4 + 3a3 − 17a2 + 2a − 7 at a = 3

f(3)= 8

300

Use synthetic division to answer the following:

(x5-4x4+6x2-1)/(x-3)

x4-x3-3x2-3x-9+ (-28/(x-3))

400

What are the 5 Great Lakes?

Huron, Ontario, Michigan, Erie, Superior

400

Answer the following using synthetic division:

(x4+5x3-6x+3) / (x+3)

x3+2x2-6x+12+ (-33/(x+3))

400

Use the factor theorem to find the zeros of the equation 3x3+x2-20x+12 given the zero of 2/3

x = (2/3), -3, 2

400

Evaluate the function at the given value.

f (a) = a3 + 5a2 + 10a + 12 at a = −2

f(-2)= 4

400

Answer the following using synthetic division:

(10x3 + 10x2 - 7x) / (x+1)

10x2-7 + (7/(x+1))

500

Who is the most followed person on Instagram?

Cristiano Ronaldo

500

Answer the following using synthetic division:

(5x4+2x2-15x+10)/ (x+2)

5x3-10x2+22x-59+ (128/(x+2))

500

Use the factor theorem to determine the zeros of the equation 4x3+19x2+19x-6 given (x+2) is a factor.

x= -2, -3, (1/4)

500

Evaluate the function at the given value.

f (x) = x3 + x2 − 5x − 6 at x = 2

f(2)= -4

500

Use the Fundamental Theorem of Algebra to factor, solve, and name the roots (complex, real, imaginary):

x^2+10x+9

x=-9, x=-1

2 complex roots

2 real roots

0 imaginary roots