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PIMSO 2025 - Mathematics - Senior Secondary - National Round Question 8

PIMSO Maths · PIMSO 2025 - Mathematics - Senior Secondary - National Round

Question 8

Let $R$ and $F$ ($R,F\ne0$) be the roots of the equation $x^2-3x-s=0$ ($s\ne0$). If $RF$ and $R-F$ are the roots of the equation $(p+1)x^2-mx+s=0$, find the value of $p+1+m+s$.

Original choices: A. -1; B. 0; C. 1; D. 2.

Editorial note: The printed conditions do not certify a unique valid answer. Explain the source issue rather than choose an automatic key.