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PIMSO 2023 - Mathematics - Grade 9 (Secondary 3) - National Round Question 14

PIMSO Maths · PIMSO 2023 - Mathematics - Grade 9 (Secondary 3) - National Round

Question 14

If a,b, and c are the roots of the polynomial $x^3+5x^2+7x+8$, what is $ab+bc+ca$?

Editorial note: Use all three polynomial roots, including complex roots and counting multiplicity.