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Factor.\newline4p34p2+7p74p^3 - 4p^2 + 7p - 7

Full solution

Q. Factor.\newline4p34p2+7p74p^3 - 4p^2 + 7p - 7
  1. Look for common factors: Look for common factors in each pair of terms.\newlineWe can factor out 4p24p^2 from the first two terms and 77 from the last two terms.\newline4p34p2+7p7=4p2(p1)+7(p1)4p^3 - 4p^2 + 7p - 7 = 4p^2(p - 1) + 7(p - 1)
  2. Factor out common terms: Check if there is a common binomial factor.\newlineBoth groups have a common factor of (p1)(p - 1).\newline4p2(p1)+7(p1)=(4p2+7)(p1)4p^2(p - 1) + 7(p - 1) = (4p^2 + 7)(p - 1)
  3. Check for common binomial factor: Write the final factored form.\newlineThe factored form of the polynomial is (4p2+7)(p1)(4p^2 + 7)(p - 1).