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q^(2)-14 q+36

q2−14q+36 q^{2}-14 q+36

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Full solution

Q. q2−14q+36 q^{2}-14 q+36
  1. Identify Coefficients: Step Title: Identify the Coefficients\newlineReasoning: Check out the numbers in front of the variables in the quadratic equation.\newlineCalculation: Coefficients are 11, −14-14, 3636.
  2. Find Factors: Step Title: Find the Factors\newlineReasoning: Need two numbers that multiply to 3636 (the constant term) and add to −14-14 (the coefficient of the middle term).\newlineCalculation: Factors of 3636 that add up to −14-14 are −6-6 and −8-8.
  3. Write Factored Form: Step Title: Write the Factored Form\newlineReasoning: Use the factors found to write the quadratic in its factored form.\newlineCalculation: The factored form is (q−6)(q−8)(q - 6)(q - 8).

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