If 2 is a solution (root) of x^3+hx+10=0, then h equals:

1960 AMC 12 Problem 1

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2

is a solution (root) of

x^3+hx+10=0,

then

h

equals:

10

9

2

-2

-9

Substitute

x=2

into the equation

Solve the resulting linear equation for

h

Substituting the given root gives

2^3+2h+10=0.

Thus

2h=-18,

h=-9.

Therefore, the correct answer is E.