Question
A polynomial function that does not intercept the x-axis has complex roots only
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Answered by
oobleck
your example is wrong, since it intercepts the x-axis at x-1.
By definition, a graph which does not intercept the x-axis has no real roots -- that is, any roots are complex.
One exception might be y=3. It does not have any x-intercepts, but also has no complex roots.
By definition, a graph which does not intercept the x-axis has no real roots -- that is, any roots are complex.
One exception might be y=3. It does not have any x-intercepts, but also has no complex roots.
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