Show:
Multiplying Polynomials
Polynomial Division and Factors
Solving Polynomial Inequalities and Equations
Polynomial Transformations
End Behavior and Polynomial Curve Fitting
100
Give the degree of the product of (x^2-8x+2)(5x^4-7x).
What is 6?
100
Divide (x^4-3x^3-28x^2+59x+6) by (x-6). Give the resulting polynomial.
What is x^3+3x^2-10x-1?
100

Up to how many roots, does the equation x^4-4x^3-3x^2-14x-8 = 0 have?

What is 4?

100
For f(x)=x^3-4, write the rule for g(x)=f(x)-3
What is g(x)=x^3-7?
100
Is f(x)=2x^3+3x^2-4x odd or even and positive or negative?
What is odd and positive?
200
Multiply (x-6)(x+5)
What is x^2-x-30?
200
Use long division to divide (y^4+9y^2+20) by (y^2+4).
What is y^2+5?
200

Solve (x +2)(x -3)(x + 1) >0

What is -2<x<-1 or x>3?

200
Reflect f(x)=x^3-2x^2+5x-3 across the y-axis.
What is g(x)=-x^3-2x^2-5x-3?
200
Describe the end behavior of f(x)=-5x^3+x-8.
What is as x goes to -infinity, f(x) goes to +infinity and as x goes to +infinity, f(x) goes to negative infinity?
300
Give the coefficients of the expansion of (x+y)^6.
What are 1,6,15,20,15,6,1?
300
If (x-a) is a factor of a polynomial, what is P(a)?
What is 0?
300

Determine the zeros of y = x^4-37x^2+36

What are 1, -1, 6, and -6?

300

Describe the transformation g(x)=1/2f[1/2(x+2)]. Make sure to pay attention to the order of the transformations.

What is a horizontal stretch by two, then a horizontal slide two units left, then a vertical compression by 1/2?

300
What type of function fits the following data set: (-6,-30), (-4,15), (-2,30), (0, 34), (2,41), (4,60)?
What is quartic?
400
Simplify (3x+1)^4
What is 81x^4+108x^3+54x^2+12x+1?
400
Is (3x-6) a factor of (3x^4-6x^3+6x^2+3x-30)?
Yes.
400

Solve 2x(x +4)-3(x +4) <0

What is -4 < x < 1.5?

400

If f(x)=x^3, describe the graph of g(x)=f(-x)+3 and write the rule for the function.

What is g(x)=-x^3+3? The graph of f(x) should be reflected across the y-axis and translated 3 units down.

400

Determine algebraically where the cubic polynomial function that has zeros at 2, 3, and -5 and passes through the point (4, 36) has a value of 120. 

What is x = -3, -2, 5. 

500
Multiply (30+x^3+x^2)(x-15-x^2) and write the solution in standard form.
What is -x^5-14x^3-45x^2+30x-450?
500
Factor (8x^3-27)
What is (2x-3)(4x^2+6x+9)?
500

Find all the roots of x^4 -6x^3+10x^2-2x=x^2-2x

What are x= 0, 3?

500
Reflect f(x)=3^3+6 across the x-axis and shift it 3 units up.
What is g(x)=-3x^3-3?
500

Consider the function y = e^x. Estimate the IROC at x =5. 

What is 148.4?