Zeros & Factors
Rational Expressions
Division & Remainders
Graphing & End Behavior
Operations & Potpourri
100

The three x-intercepts of the function f(x) = x3 - 5x2 - 4x + 20 are

What are {2, -2, 5}?

100

Express the sum 1/x + 1/y as a single fraction. 

What is (y+x)/yx?

100

According to the Remainder Theorem, what is the remainder when x2 + 8x - 7 is divided by x - 2?

What is 13?

100

Which power function best describes the end behavior of y = -3x4 + 5x2 + 3x - 1? 

What is y = -3x4?

100

What is the conjugate of the complex number

 -12 + 3i?

What is -12 - 3i?

200

If f(-3) = 0, what specific binomial must be a factor of the polynomial f(x)?

What is (x + 3)?

200

Simplify the expression (x2 + 4x - 21)/(x2 - 49) to its simplest form.

What is (x-3)/(x-7)?

200

If (6x-1)/(3x+7) is rewritten as 2 + b/(3x+7), what is the value of b?

What is -15?

200

Using the point (6, 192), calculate the specific value of the leading coefficient for the graph described in question #6.

What is a = -3?

200

Find the inverse function for the function f(x) = (x+8)/(2x-1).

What is f-1(x)=(x+8)/(2x-1)