Question

complex numbers unit test
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)
points awarded
2
the answer is very clear
the answer is fully supported by details
there may be a few errors in grammar, usage, or mechanics. errors do not interfere with meaning
1
the answer is somewhat clear
details are weak or not related
there are some errors in grammar, usage, and mechanics. errors interfere with meaning
0
the question is not answered

Explanation:

Answer:

Yes. Complex - valued solutions of a polynomial that come in conjugate pairs do not contribute to x - intercepts, so a polynomial can have four solutions (including complex ones) and only two real x - intercepts.