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The quotient will be x² + 5x + 2 and the remainder will be 1.Synthetic division method is a method used to divide polynomials. It is used to divide polynomial with a linear factor whose leading coefficient is 1.We will factorize x³ + 7x² + 12x + 5 by x + 2 using synthetic division method.To know more about divisions of polynomialhttps://brainly.com/question/12520197#SPJ1