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Factor.\newlineg2+14g+13g^2 + 14g + 13

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Q. Factor.\newlineg2+14g+13g^2 + 14g + 13
  1. Identify Coefficients: Identify the coefficients for g2g^2, gg, and the constant term in the quadratic expression g2+14g+13g^2 + 14g + 13. The coefficient of g2g^2 is 11 (a=1a = 1), the coefficient of gg is 1414 (b=14b = 14), and the constant term is 1313 (gg00).
  2. Find Two Numbers: We need to find two numbers that multiply to give the product of aca*c (113=131*13 = 13) and add up to bb (1414).\newlineThe numbers that satisfy these conditions are 11 and 1313 because 113=131*13 = 13 and 1+13=141+13 = 14.
  3. Write Factored Form: Write the factored form using the two numbers found in the previous step.\newlineThe factored form of the quadratic expression is (g+1)(g+13)(g + 1)(g + 13).