Grade 12Algebra
It is given that the graph of y = x4+ax3+bx2+cx+d (where a; b; c; d
are real) has at least 3 points of intersection with the x-axis. Prove
that either there are exactly 4 distinct points of intersection, or one of
those 3 points of intersection is a local minimum or maximum.
It is given that the graph of y = x4+ax3+bx2+cx+d (where a; b; c; d
are real) has at least 3 points of intersection with the x-axis. Prove
that either there are exactly 4 distinct points of intersection, or one of
those 3 points of intersection is a local minimum or maximum.
are real) has at least 3 points of intersection with the x-axis. Prove
that either there are exactly 4 distinct points of intersection, or one of
those 3 points of intersection is a local minimum or maximum.
