To check: The possibility to find a polynomial of degree four with real coefficients that has zeros
Given information:
The polynomial of degree four with real and non real zero are
Concept used:
A polynomial function with real coefficients, if it has one non real zero then other nonzero zero must be the conjugate of that non real zeros.
A polynomial with degree four are here, thus four zeros must be there.
Here,non real zeros are
Suppose the polynomial i:
Hence, it is possible to find a polynomial of degree four with real coefficients that have zeros
Chapter 2 Solutions
PRECALCULUS:GRAPHICAL,...-NASTA ED.
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