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Polynomials and Synthetic Division

1. Identify the polynomial written as a product of linear factors.
F(x) = x fourth +10x cubic +35x squared +50x +24

2. Solve z cubic-6z squared + 13z-10 given that 2 + i is a root.

3. Find a polynomial with interger coefficients that has the given zeros. 5, 4i, -4i, i, -i

4. Find all vertical asymptotes of the function.

F(x) -------------------
****x squared+2x-3

5. Use synthetic division to complete the indicated factorization: x forth -4x cube-19x squared +106x-120 = (x+5)(x-3)( )

Solution Summary

Polynomials and Synthetic Division are investigated.