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Factor.\newlinef220f+19f^2 - 20f + 19

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Q. Factor.\newlinef220f+19f^2 - 20f + 19
  1. Identify bb and cc: Identify bb and cc in the quadratic expression f220f+19f^2 - 20f + 19.\newlineb=20b = -20, c=19c = 19.
  2. Find two numbers: Find two numbers that multiply to 1919 and add up to 20-20.\newlineHmm, let's see... 1919 is prime, so the only numbers that multiply to 1919 are 11 and 1919.\newlineBut we need them to add up to 20-20, so they should be 1-1 and 19-19.\newline1×19=19-1 \times -19 = 19, 20-2000.
  3. Write factored form: Write the factored form using the numbers found.\newlineThe factored form is (f1)(f19)(f - 1)(f - 19).