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Factor the quadratic expre 8x^(2)-18 x-5=

Factor the quadratic expre\newline8x2−18x−5= 8 x^{2}-18 x-5=

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Full solution

Q. Factor the quadratic expre\newline8x2−18x−5= 8 x^{2}-18 x-5=
  1. Identify Coefficients: Step Title: Identify the Coefficients\newlineConcise Step Description: Check out the numbers in front of the variables in the quadratic equation.\newlineStep Calculation: Coefficients are 88, −18-18, −5-5\newlineStep Output: Coefficients: 88, −18-18, −5-5
  2. Find Factors: Step Title: Find the Factors\newlineConcise Step Description: Need to find two numbers that multiply to −40-40 (product of 88 and −5-5) and add to −18-18.\newlineStep Calculation: Factors of −40-40 that add up to −18-18 are −20-20 and 22.\newlineStep Output: Factors: −20-20, 22
  3. Write Factored Form: Step Title: Write the Factored Form\newlineConcise Step Description: Use the factors to write the quadratic in its factored form.\newlineStep Calculation: The factored form is (8x+2)(x−5)(8x + 2)(x - 5).\newlineStep Output: Factored Form: (8x+2)(x−5)(8x + 2)(x - 5)

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