Design a polynomial function with the following characteristics degree 6 four real zeros, one of multiplicity 3 y intercept 3 behaves like y 5x 6 for large values of x Is this polynomial unique Compare your polynomial with those of other students What terms will be the same as everyone elses Add so...

Degree6 Yintercept3 4 Real Zeros Pxaxb 3 xcx 2 dxe here d 2 4e 0 As f ...

Design a polynomial function with the following characteristics: degree 6; four real zeros, one of multiplicity 3;

Question:

Design a polynomial function with the following characteristics: degree 6; four real zeros, one of multiplicity 3; y-intercept 3; behaves like y = -5x⁶ for 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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