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Factor. g^(2)-8g+15

Factor.\newlineg2−8g+15 g^{2}-8 g+15

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Full solution

Q. Factor.\newlineg2−8g+15 g^{2}-8 g+15
  1. Identify Coefficients: Step Title: Identify the Coefficients\newlineReasoning: Identify the coefficients of the quadratic equation, which are the numbers in front of the variables. In this case, the coefficients are 11, −8-8, and 1515.\newlineCalculation: Coefficients are 11, −8-8, 1515
  2. Find Factors: Step Title: Find the Factors\newlineReasoning: Find two numbers that multiply to 1515 (the last term) and add to −8-8 (the coefficient of the middle term).\newlineCalculation: Factors of 1515 that add up to −8-8 are −3-3 and −5-5.
  3. Write Factored Form: Step Title: Write the Factored Form\newlineReasoning: Write the factored form of the quadratic equation using the factors found in the previous step.\newlineCalculation: The factored form is (g−3)(g−5)(g - 3)(g - 5).

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