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Factor.\newline2p240p+382p^2 - 40p + 38

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Q. Factor.\newline2p240p+382p^2 - 40p + 38
  1. Find GCF: First, look for a greatest common factor (GCF) that can be factored out from all terms.\newlineGCF of 2p22p^2, 40p-40p, and 3838 is 22.\newlineFactor out the GCF: 2(p220p+19)2(p^2 - 20p + 19).
  2. Factor out GCF: Now, factor the quadratic inside the parentheses.\newlineWe need two numbers that multiply to 2×192 \times 19 (since the leading coefficient is 22) and add up to 20-20.\newlineThe numbers are 1-1 and 38-38.