Identify Coefficients: Identify the coefficients of the quadratic expression.The quadratic expression is w2+9w+14. Here, the coefficient of w2 (a) is 1, the coefficient of w (b) is 9, and the constant term (c) is 14.
Find Multiplying Numbers: Find two numbers that multiply to c (14) and add up to b (9). We need to find two numbers that multiply together to give 14 and add together to give 9. The numbers 2 and 7 fit these requirements because 2×7=14 and 2+7=9.
Write Factored Form: Write the factored form using the two numbers found.The factored form of the quadratic expression is (w+2)(w+7), because when we expand this, we get w2+7w+2w+14, which simplifies to w2+9w+14.
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