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Factor.\newlineu23u+2u^2 - 3u + 2

Full solution

Q. Factor.\newlineu23u+2u^2 - 3u + 2
  1. Identify Coefficients: Identify the coefficients of the quadratic equation, which are 11 for u2u^2, 3-3 for uu, and 22 for the constant term.
  2. Find Numbers: Find two numbers that multiply to 22 (the constant term) and add to 3-3 (the coefficient of the uu term). The numbers are 1-1 and 2-2 because 1×2=2-1 \times -2 = 2 and 1+2=3-1 + -2 = -3.
  3. Write Factored Form: Write the factored form of the quadratic equation using the numbers found. The factored form is (u1)(u2)(u - 1)(u - 2).