What is always the first step in any factoring problem?
What is to pull out the GCF
100
What method, that we studied is quicker than direct substitution?
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 Zero 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 terms to factor, what is the correct technique?
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 the primary method for finding the first zero of f(x)?
What is using a graphing calculator
200
What is 2^-4?
What is 1/16
300
Yes/No: Can x^4 - y^4 be factored?
What is No--it is the sum 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 touches the x-axis at a point, what kind of root is it?
What is a double 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 2 cubes
400
DAILY DOUBLE: YOU JUST EARNED YOUR TEAM + 300 POINTS. CONGRATULATIONS. YOU MUST DO IT AGAIN THOUGH.
What is +300
400
A ___________________is an extension from a theroem
What is corollary
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
What Theorem tells us that if a+bi is a root of f(x), then a-bi is also a root?
What is The Complex Conjugate Theorem
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} by the complex conjugate theorem.