To answer the problem above, let x be the first integer and x + 1 be the next integer. Given that their product is 600, the equation that best models this situation is, (x)(x + 1) = 600 Simplify, x² + x - 600 = 0 The roots of the equation above is 24 and -25. Since we are asked for the negative integers, we take x = -25. Thus, the first integer is -25 and the second integer is -24. The lesser integer is -25