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Juan Set 2 Paper 1 · Q15

Paper 1Functions & graphsNumber & counting

Let aa and bb be real numbers, and let the function ff, defined by

f(x)=ax3+bx2+x+7f(x)=ax^3+bx^2+x+7

be strictly increasing everywhere. Given that f(−1)=0f(-1)=0, what is the sum of the distinct possible integer values of bb?

A11
B13
C15
D17
E19

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