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Sticky Note
If x² - px + 30 has factors differing by 1, then p equals?
  1. 10
  2. 11
  3. 12
  4. None of these
Explanation

Factors are (x - m)(x - n) = x² - (m + n)x + mn  

So m + n = p and mn = 30  

Numbers that multiply to 30 and differ by 1: 5 and 6, or -5 and -6  

So p = 5 + 6 = 11 or p = -5 + (-6) = -11


Last verified on 09-05-2026

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