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We started by factoring and graphing the quadratic on GeoGebra. Then we moved on to plugging in numbers. One question we had: Does it matter if the solution is a negative or positive prime number?

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using different ways of solving
quadratic solving

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Many questions about formulas
Different forms of answers

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how to start, guess and check?, formulas/patterns?, how many answers? graphically?

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1. Graphical/algebraic solution
2. multiple/single answer

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Where to start
Using graphs
What formula to use

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Different ways of solving
Are there multiple answers

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Can domain/graphing be used in any way to solve this?
Is there a formula?
Is this similar to a quadratic equation, can it be solved in a similar way?

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How to start?
Different ways of solving?
Formulas?

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How to solve, Possibly Graphing, Domain/Range, Quadratic, Factoring, Formulas and Patterns, Guess and Check, Algebraic solution.

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1. finding different ways to solve this (i.e. graphically, algebraically, factorization, etc)
2. How many possible solutions there are

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Methods of solving
Answer Notation
Important info to know before solving

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There is a theme about how many answers the problem has. Along with if you can solve it graphically.

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-different ways of solving (graphically, quadratics, plugging in)
-prime number patterns
-number of answers

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1. Is there a way to manipulate the equation to see things differently?

2. Would the answer be some sort of domain/ minus the set of

Is there any pattern with prime numbers? If not would "n" not have a pattern either?

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1. What's the best way to start this problem?

2. Can this be solved graphically?

3. How do we properly write our solutions once we have them?

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Can it be solved in a way other than guess and check?
Can this be solved like it's a quadratic equation?
Is there a formula for finding integers in equations?

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1. Would you solve this like a quadratic equation?
2. How many possible answers are there?
3. How many ways are there to solve this problem?

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1. Can we solve this graphically? If so, can we use domain and range to help us come to a solution?
2. Are there any rules for prime numbers that exist that could potentially help us solve this?
3. Is there a way that we could plug in prime numbers and go backwards to where we could find "n"

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1. Would it be easiest to guess and plug numbers in to try and find the prime number?
2. Is it important to know the sum of this problem in order to find the integers?
3. Is there only one possible answer to this equation?

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hi

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Many groups mentioned guess and check and plugging numbers in to start solving the problem.