Project #68179 - College Algebra

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1. Solve the equation in the real number system.

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

 

2. Write the function that meets the given condition:

Fifth-degree polynomial with real coefficients;

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

 

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 g near each X-intercept.

 

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

 

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.

 

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

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

 

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

 

8. What is the domain of the function:

***refer to attachment***

 

9. Solve the inequality.

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

 

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

{x|-2<x</6}

 

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 04:45 am
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