Question: How do we know if a quadratic polynomial isn't factorable into two binomials? Just because you can't think of the two numbers that multiply to

How do we know if a quadratic polynomial isn't factorable into two binomials? Just because you can't think of the two numbers that multiply to c and add to b doesn't mean they don't exist, especially if the numbers are large.

Which of these two is factorable and which is not? Show/Explain how you know in each case:

a) x²- 7x - 112

b) x² + 9x - 112

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