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Write the Factored Form: y^(2)+2y-15=0

Write the Factored Form: y2+2y−15=0y^{2}+2y-15=0

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Full solution

Q. Write the Factored Form: y2+2y−15=0y^{2}+2y-15=0
  1. Identify Coefficients: Step Title: Identify the Coefficients\newlineReasoning: Identify the coefficients of the quadratic equation, which are 11 for y2y^2, 22 for yy, and −15-15 as the constant.\newlineCalculation: Coefficients are 11, 22, −15-15
  2. Find Factors: Step Title: Find the Factors\newlineReasoning: Find two numbers that multiply to −15-15 (the constant) and add to 22 (the coefficient of the middle term).\newlineCalculation: Factors of −15-15 that add up to 22 are 55 and −3-3.
  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 (y+5)(y−3)(y + 5)(y - 3).

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