If x² - px + 24 has factors differing by 2, then p equals?
- 9
- 10
- 11
- None of these
Explanation
Let the roots be r and r + 2.
Product of roots = 24
r(r + 2) = 24
r² + 2r - 24 = 0
(r + 6)(r - 4) = 0
r = 4 or r = -6
Sum of roots = p
If r = 4: roots are 4 and 6 → p = 4 + 6 = 10
If r = -6: roots are -6 and -4 → p = -6 + (-4) = -10
Last verified on 08-05-2026
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