Posted by **thariq** on Sunday, September 25, 2011 at 7:10am.

In a reference (O, i, j), the points A (-12, 1150) and B (10, -500). The function f is defined on (-20, 10) by: f(x) = x^ 4 +2.25 x^3-44.5x^2-260x+100

We note Cf his(her,its) representative curve.

We try to determine all the points of intersection of the curve Cf and the line (AB) of coordinates whole.

1.Explain why this problem is to determine all integer(whole) values of k such as vectors AB and AM are collinear, where M is the point of coordinates (k ; k^ 4 +2.25 k^3-44.5k^2-260k+100).

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