Show:
Factoring
The Remainder/Factor Theorems
Roots and Zeros
Rational Root Theorem
I need a break
100
What is always the first step in any factoring problem?
What is to pull out the GCF
100

What method, that we studied replaces direct substitution and results in a depressed polynomial

What is synthetic substitution

100
What theorem tells us how many zeros we have in a polynomial?
What is The Fundamental Theorem of Algebra
100

Explain in one sentence what the Rational Root Theorem tells us.

What is it gives us a list of possible real zeros.

100
We are so sorry but you just lost your team 200 points
What is -200
200

If you have 4, 6, 8, etc. terms to factor, what technique often works to factor?

What is grouping

200
The Factor Theorem says, "If "x - a" is a factor of f(x), then "a" must be a ____________of f(x).
What is a zero or root
200
The following are synonyms: Zeroes, Roots....what is another term?
What is solutions or x-intercepts
200

What is a method for finding the first zero of f(x)?

What is graphing or synthetic division

200
What is 2^-4?
What is 1/16
300

Yes/No: Can x^4 - y^4 be factored?

What is yes--it is the difference of two squares.

300
If a polynomial function has the following zeroes: {2, 3, -4}, what would the factors be?
What is f(x) = (x - 2)(x - 3)(x + 4)
300
What test tells us the possible number of positive, negative, imaginary, and total number of roots?
What is Descartes Rule of Sign Change
300

If a graph crosses the x-axis at a point that value of x is a __________.

What is root

300
What is i^4?
What is 1
400

What formula would you use to factor x^3 + 125?

What is the sum of cubes

400

DAILY DOUBLE: YOU JUST EARNED YOUR TEAM + 400 POINTS. CONGRATULATIONS. 

What is +400

400

The ___________________ of a polynomial is it's highest exponent. 

What is degree

400
DAILY DOUBLE. You just earned your team +400
What is +400
400
Is .3 repeating rational? Yes or no
What is yes---all repeating decimals are rational
500

Identify the error in the following: Timmy is told to factor the following polynomial: f(x) = 2x^4 + 2x - 5 but realizes that it cannot be factored. He remembers what his teacher said, "Always use the quadratic formula if you cannot factor........"

What is you can only use the Quadratic Equation on Quadratics

500
After a synthetic division, what do we call the resulting polynomial?
What is a depressed polynomial
500

 if 3i is a root of f(x), then _______ is also a root?

What is -3i

500

Are the following collection of zeroes possible? If yes, then say yes. If no, explain why not. Zeroes: {3, 4i}

What is No, is would be {3, 4i, -4i} 

500
Who is on the $2 dollar bill?
What is Thomas Jefferson