Difference between revisions of "2002 AMC 10P Problems/Problem 11"
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| + | == Problem == | ||
| + | |||
| + | Let <math>P(x)=kx^3 + 2k^2x^2+k^3.</math> Find the sum of all real numbers <math>k</math> for which <math>x-2</math> is a factor of <math>P(x).</math> | ||
| + | |||
| + | <math> | ||
| + | \text{(A) }-8 | ||
| + | \qquad | ||
| + | \text{(B) }-4 | ||
| + | \qquad | ||
| + | \text{(C) }0 | ||
| + | \qquad | ||
| + | \text{(D) }5 | ||
| + | \qquad | ||
| + | \text{(E) }8 | ||
| + | </math> | ||
| + | |||
== Solution 1== | == Solution 1== | ||
Revision as of 18:46, 14 July 2024
Problem
Let 
Find the sum of all real numbers 
for which 
is a factor of 
Solution 1
See also
| 2002 AMC 10P (Problems • Answer Key • Resources) | ||
| Preceded by Problem 10 |
Followed by Problem 12 | |
| 1 • 2 • 3 • 4 • 5 • 6 • 7 • 8 • 9 • 10 • 11 • 12 • 13 • 14 • 15 • 16 • 17 • 18 • 19 • 20 • 21 • 22 • 23 • 24 • 25 | ||
| All AMC 10 Problems and Solutions | ||
The problems on this page are copyrighted by the Mathematical Association of America's American Mathematics Competitions. 
