# Polynomials and Synthetic Division

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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.

*******x+5

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)( )

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Polynomials and Synthetic Division are investigated.

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POLYNOMIAL/RATIONAL FUNCTIONS

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1. IDENTIFY THE POLYNOMIAL WRITTEN AS A PRODUCT OF LINEAR FACTORS.

f(x) = x FOURTH +10X CUBIC ...

###### Education

- BSc , Wuhan Univ. China
- MA, Shandong Univ.

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- "Your solution, looks excellent. I recognize things from previous chapters. I have seen the standard deviation formula you used to get 5.154. I do understand the Central Limit Theorem needs the sample size (n) to be greater than 30, we have 100. I do understand the sample mean(s) of the population will follow a normal distribution, and that CLT states the sample mean of population is the population (mean), we have 143.74. But when and WHY do we use the standard deviation formula where you got 5.154. WHEN & Why use standard deviation of the sample mean. I don't understand, why don't we simply use the "100" I understand that standard deviation is the square root of variance. I do understand that the variance is the square of the differences of each sample data value minus the mean. But somehow, why not use 100, why use standard deviation of sample mean? Please help explain."
- "excellent work"
- "Thank you so much for all of your help!!! I will be posting another assignment. Please let me know (once posted), if the credits I'm offering is enough or you ! Thanks again!"
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