Final answer:
To factor the expression x²-3x+2, we can use the sum and product method to find two binomials that multiply to give the original expression.
Step-by-step explanation:
To factor the expression x²-3x+2, we are looking for two binomials that when multiplied together, give us the original expression. In this case, we want the binomials to have the form (x+a)(x+b). To find the values of a and b, we need to think of two numbers whose sum is -3 (the coefficient of x) and whose product is 2 (the constant term). The numbers -1 and -2 fit this criteria, so the factored form of the expression is (x-1)(x-2).