Consider the expression x² + mx – 36. Notice that when m = -35 the expression can be lactored as x² – 35x – 36 = (x +1)(x – 36) Find all other integer values for m that would allow the expression to be factored. Write out the factorization in each case.

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Polynomials

Try substituting 1. You will get 6 and not 0. Try other real values also. What About -2? Let us check.