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Factor the quadratic expression completely.

Factor the quadratic expression completely.\newline8x215x+2= -8 x^{2}-15 x+2=

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Q. Factor the quadratic expression completely.\newline8x215x+2= -8 x^{2}-15 x+2=
  1. Identify Quadratic Expression: Step Title: Identify the Quadratic Expression\newlineConcise Step Description: Identify the quadratic expression that needs to be factored.\newlineStep Calculation: The given quadratic expression is g211g+18g^2 - 11g + 18.\newlineStep Output: Quadratic Expression: g211g+18g^2 - 11g + 18
  2. Determine Coefficients: Step Title: Determine the Coefficients\newlineConcise Step Description: Determine the coefficients of the quadratic expression for the terms g2g^2, gg, and the constant.\newlineStep Calculation: The coefficients are 11 for g2g^2, 11-11 for gg, and 1818 for the constant term.\newlineStep Output: Coefficients: 11, 11-11, 1818
  3. Find Constant Term Factors: Step Title: Find the Factors of the Constant Term\newlineConcise Step Description: Find two numbers that multiply to the constant term (1818) and add up to the coefficient of the gg term (11-11).\newlineStep Calculation: The factors of 1818 that add up to 11-11 are 2-2 and 9-9.\newlineStep Output: Factors: 2-2, 9-9
  4. Write Factored Form: Step Title: Write the Factored Form\newlineConcise Step Description: Write the quadratic expression in its factored form using the factors found in the previous step.\newlineStep Calculation: The factored form is (g2)(g9)(g - 2)(g - 9).\newlineStep Output: Factored Form: (g2)(g9)(g - 2)(g - 9)