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.