If x² - px + 30 has factors differing by 1, then p equals?
- 10
- 11
- 12
- 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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