Determine two different values of "b" in x2 + bx + 30 so that the expression can be factored into the product of two binomials. Explain how you determined those values and show each factorization. Explain how your process would change if the expression was 2x2 + bx + 30.

We are given with an expression of x2 + bx + 30 and asked for the values of b which the binomial can be factored. The factors of 30 are - 1 and - 30 or 30 and 1, - 15 and - 2 or 15 and 2, 3 and 10 or - 10 and - 3. b can be equal to - 31, 31, 17, - 17, 13 or - 13. We just add the factors to get b. When the binomial is 2x2 + bx + 30. Using the same factors, b now becomes 32, - 32, - 62, 62, 23 and - 23.