Identify Coefficients: Identify the coefficients of the quadratic expression.The quadratic expression is t2+3t+2. Here, the coefficient of t2 (a) is 1, the coefficient of t (b) is 3, and the constant term (c) is 2.
Find Multiplying Numbers: Find two numbers that multiply to c(2) and add up to b(3). We need to find two numbers that multiply together to give 2 and add up to give 3. The numbers 1 and 2 satisfy these conditions because 1×2=2 and 1+2=3.
Write Factored Form: Write the factored form using the two numbers found.Since the numbers we found are 1 and 2, the factored form of the quadratic expression t2+3t+2 is (t+1)(t+2).
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