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1. Solve the equation in the real number system.

2x^4+7x^3-5x^2-28x-12=0

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2.Â **Write the function that meets the given condition:**

Fifth-degree polynomial with real coefficients;

zeros:-2 multiplicity 2, 0, 3+i

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3. For the polynomial function g(x)=2x^3+5x^2-28x-15,

(a) Determine the maximum number of real zeros that the function may have.

(b) List the potential zeros.

(c) Determine the real zeros of g. Factor g over reals.

(d) Find the X and Y intercepts of the graph of g

(e) Determine whether the graph crosses or touches the X-axis at each X-intercept.

(f) Determine the behavior of the graph of gÂ **near**Â each X-intercept.

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4. Find the domain of each function. Find any horizontal, vertical, or oblique asymptotes.

(a) g(x)=(2x^2-10x+12)/(3x^2+24x-60)

(b) f(x)=x^2+2x-3/x+1

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5. Sketh the graph of the function in the previous problem (f(x)) and (g(x)). Label all intercepts, hole(s), vertical, horizontal or oblique asymptotes.

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6. Find the complex zeros of the polynomial function. Write f in factored form.

f(x)=2x^4+x^3-35x^2-113x+65

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7. Use the given zeros to find the remaining zeros of the following function.

g(x)=2x^5-3x^4-5x^3-15x^2-207x+108; zero: 3i

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8. What is the domain of the function:

***refer to attachment***

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9. Solve the inequality.

((2-x)^3(2x-1))/(x^3+1)<0

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10. Write a rational inequality whose solution set is the following:

{x|-2

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11. Make up a rational function that has y=3x-2 as an oblique asymptote. Explain the methodology that you used.

Subject | Mathematics |

Due By (Pacific Time) | 04/23/2015 05:00 pm |

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