Question

can a polynomial have four solutions but only two x - intercepts? in 1 - 2 sentences, explain how this can or cannot occur (2 points) short answer rubric (2 points)

Explanation:

A polynomial can have four solutions which are the roots of the equation. X - intercepts are real - valued roots. It's possible to have non - real complex roots among the four solutions, leaving only two real x - intercepts.

Answer:

Yes, it is possible. A polynomial can have four solutions in total (including real and complex numbers), but only two of them can be real, which would be the x - intercepts.