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−2x2+10x−8 -2x^2+10x-8 which of the following is equivalent to the given expression

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Full solution

Q. −2x2+10x−8 -2x^2+10x-8 which of the following is equivalent to the given expression
  1. Factor GCF: Factor out the greatest common factor (GCF) from the expression.\newline−2x2+10x−8-2x^2 + 10x - 8\newline= −2(x2−5x+4)-2(x^2 - 5x + 4)
  2. Factor Quadratic: Now factor the quadratic expression inside the parentheses.\newlinex2−5x+4x^2 - 5x + 4\newline= (x−4)(x−1)(x - 4)(x - 1)
  3. Combine Factors: Combine the factored quadratic with the GCF that was factored out.\newline−2(x2−5x+4)-2(x^2 - 5x + 4)\newline= −2(x−4)(x−1)-2(x - 4)(x - 1)

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