Find the zeros of polynomial function and state multiplicity

Assignment Help Algebra

Reference no: EM131298347

1. Express the number in terms of i.

√(-18)

-√(-9)

2. Simplify. Write answers in the form a + bi, where a and b are real numbers.

( 13 + 8i ) + ( -3 + 8i )

( 14 + 7i ) - ( 5 + 3i )

( 5 - 8i ) ( -1 + i )

3i ( 3 + 5i )

(6+5i)/(3-4i)

3. Simplify. Show work.

i^19

i^24

[(-i)^8

4. Find all real roots. Check your answers.

f (x) = -6x² - 24x + 18

f(x) = x^(4 )-4x^3+3x²

5. Find all real or complex solutions.

t^4 = 16

6. For each function:

Find the vertex; b) Find the axis of symmetry; c) determine whether there is a maximum or minimum value, and find that value; d) graph the function.

f(x) = x² + 2x + 6

g(x) = x² + 7x - 8

7. Find the zeros of the polynomial function and state the multiplicity of each.

a. f(x) = (x + 5 )³ ( x - 4 ) ( x + 1 )²

b. (x² - 4 )² = f(x)

c. f(x) = x³ - x² - 2x + 2

8. Determine the domain of the function

f(x) = (4x-9)/(4x+40)

9. Determine the horizontal asymptote of the graph of the function. Sketch the graph.

f(x) = (2x^2+5)/(3x^2 - 4)

10. Determine the vertical asymptote of the graph of the function. Sketch the graph.

f(x) = (x - 7)/(3 - x)

11. Find all real solutions. Check your answers.

x/(10x+4) = 6

12. After working for a company for 15 months, an employee has earned 20 vacation days. At this rate, how much longer will the employee have to work in order to get a 6-week vacation (30 work days)?

13. Theorem 6.2- Suppose f(x) = logb (x).

• The domain of f is (0, ∞) and the range of f is (-∞, ∞).
• (1, 0) is on the graph of f and x = 0 is a vertical asymptote of the graph of f.
• f is one-to-one, continuous and smooth
• b a = c if and only if logb (c) = a. That is, logb (c) is the exponent you put on b to obtain c.
• logb (b x ) = x for all x and b logb (x) = x for all x > 0
• If b > 1: - f is always increasing - As x → 0 +, f(x) → -∞ - As x → ∞, f(x) → ∞ - The graph of f resembles: y = logb (x), b > 1
• If 0 < b < 1: - f is always decreasing - As x → 0 +, f(x) → ∞ - As x → ∞, f(x) → -∞ - The graph of f resembles: y = logb (x), 0 < b < 1

For this problem, use this part, b a = c if and only if logb (c) = a from Theorem 6.2 to rewrite the given equation in the other form. That is, rewrite the exponential equations as logarithmic equations and rewrite the logarithmic equations as exponential equations.of the above listed Theorem to answer the problem

log(0.1) = -1

Reference no: EM131298347

Questions Cloud

What is the firms capital budget for the year : What is the firm's capital budget for this year? Is this budget higher or lower than last year's?- What types of new projects has the firm invested in recently?

What is the value of the voucher : If the government offers vouchers to students and values them so that the efficient number of students will enroll, what is the value of the voucher?

Provide information on planned future capital budgeting : Explain how the business uses technology to promote its capital budgeting activities. For example, does it use the Internet to provide information about recent investment projects?

Identify the marketing vehicles you plan : Analyze the types of consumers who will be drinking your beverage in demographic terms (i.e., age, education level, income, gender, ethnic group, etc.) - Identify the marketing vehicles you plan to use to build your company's brand. Justify the ke..

Find the zeros of polynomial function and state multiplicity : Find the zeros of the polynomial function and state the multiplicity of each. Determine the horizontal asymptote of the graph of the function. Sketch the graph.

What is the cost to taxpayers : If the government subsidizes colleges so that the efficient number of students will enroll, what is the cost to taxpayers?

Create code to solve the problem using explicit formulation : ENGR 4576: Computational Fluid Dynamics. Create a code to solve the problem using explicit formulation. -Perform a grid-refinement study. Start with 41x41 grid and refine until results at least

What type of merger is judith considering : What type of merger is Judith considering?- Explain how Judith might decide on a purchase price for Hill Company.

What is the hazard communication standard : What is the hazard communication standard? Explain how this standard applies to the workplace. What should employers do in order to be compliant with this standard?

User Account

All Pages