Question: Design a polynomial function with the following characteristics: degree 6; four distinct real zeros, one of multiplicity 3; y-intercept 3; behaves like y = -5x

Design a polynomial function with the following characteristics: degree 6; four distinct real zeros, one of multiplicity 3; y-intercept 3; behaves like y = -5x⁶for large values of |x|. Is this polynomial unique? Compare your polynomial with those of other students. What terms will be the same as everyone else’s? Add some more characteristics, such as symmetry or naming the real zeros. How does this modify the polynomial?

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