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Juan Set 2 Paper 1 · Q16

Paper 1Algebra

Let kk and mm be real numbers, and let the functions ff and gg be defined on the set of real numbers by

f(x)=2x3−9x2−mx−k,g(x)=x3⋅f(x).f(x)=2x^3-9x^2-mx-k,\qquad g(x)=x^3\cdot f(x).

Both ff and gg have a local extremum at x=−1x=-1.

What is k+mk+m?

A31
B33
C35
D37
E39

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