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Factor.

y^(2)+6y-7

Factor.\newliney2+6y7 y^{2}+6 y-7

Full solution

Q. Factor.\newliney2+6y7 y^{2}+6 y-7
  1. Identify Coefficients: Step Title: Identify the Coefficients\newlineReasoning: Check out the numbers in front of the variables and the constant term.\newlineCalculation: Coefficients are 11 (for y2y^2), 66 (for yy), and 7-7 (constant).
  2. Find Factors: Step Title: Find the Factors\newlineReasoning: Need two numbers that multiply to 7-7 (the constant) and add up to 66 (coefficient of yy).\newlineCalculation: Factors of 7-7 that add up to 66 are 77 and 1-1.
  3. Write Factored Form: Step Title: Write the Factored Form\newlineReasoning: Use the factors to write the expression in a factored form.\newlineCalculation: The factored form is (y+7)(y1)(y + 7)(y - 1).