Q. Factor the quadratic expression completely.−8x2−15x+2=
Identify Quadratic Expression: Step Title: Identify the Quadratic ExpressionConcise Step Description: Identify the quadratic expression that needs to be factored.Step Calculation: The given quadratic expression is g2−11g+18.Step Output: Quadratic Expression: g2−11g+18
Determine Coefficients: Step Title: Determine the CoefficientsConcise Step Description: Determine the coefficients of the quadratic expression for the terms g2, g, and the constant.Step Calculation: The coefficients are 1 for g2, −11 for g, and 18 for the constant term.Step Output: Coefficients: 1, −11, 18
Find Constant Term Factors: Step Title: Find the Factors of the Constant TermConcise Step Description: Find two numbers that multiply to the constant term (18) and add up to the coefficient of the g term (−11).Step Calculation: The factors of 18 that add up to −11 are −2 and −9.Step Output: Factors: −2, −9
Write Factored Form: Step Title: Write the Factored FormConcise Step Description: Write the quadratic expression in its factored form using the factors found in the previous step.Step Calculation: The factored form is (g−2)(g−9).Step Output: Factored Form: (g−2)(g−9)