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Exponentials, Multiplication, Division of Polynomials

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See attached.

1. Evaluate the expression. Assume
2. Evaluate when y = -2
3. Evaluate when
4. Express the following using a positive exponent. Then simplify the expression . Write using a positive exponent do not evaluate
5. Express using a positive exponent =
6. Multiply and simplify =
7. Divide and simplify = Divide and write the expression using positive exponents
8. Simplify
a. d.
b. e. =
c. f.
9. Simplify
10. Simplify and assume =
11. Simplify =
12. Convert to scientific notation 0.000000394= (Use scientific notation. Use the multiplication symbol in the math palette as needed.)
13. Convert to decimal notation 5.424 x =
14. Multiply and write the result in scientific notation (2 x 10 ) (3 x 10 )= (Use scientific notation. Use the multiplication symbol in the math palette as needed.)
15. The mass of Pluto is about 1.31 x 10 metric tons. The mass of the sun is about 1.998 x 10 metric tons. About how many times the mass of Pluto is the mass of the sun? Give the answer in scientific notation. The mass of the sun is about _____ times the mass of Pluto.
16. Evaluate the polynomial for =
17. Total revenue is the total amount of money taken in by a business. An appliance firm that determines that when it sells x washing machines, the total revenue, R, in dollars, is given by the polynomial R = 284.51x - 0.2x . What is the total revenue from the sale of 209 washing machines? The total revenue is $________.
18. Collect like terms and then arrange them in descending order. =
19. Come Back
20. Identify the missing term in the polynomial. =
21. Add
22. Add =
23. Subtract =
24. Subtract =
25. Come Back
26. Multiply =
27. Multiply =
28. Multiply =
29. Multiply =
30. Multiply =
31. Complete the rectangle to illustrate this product =
32. Multiply =
33. Multiply = Type the terms in descending order
34. Multiply =
35. Multiply = Type the terms in descending order
36. Multiply =
37. Multiply =
38. Multiply =
39. Multiply = Type the terms in descending order
40. A launched rocket has an altitude, in meters, given by the polynomial , where is the height, in meters, from which the launch occurs, at velocity in meters per second, and is the number of seconds for which the rocket is airborne. If a rocket is launched from the top of a tower 50 meters high with an initial upward speed of 20 meters per second, what will the height be after 20 seconds? ________ meters (Round to the nearest tenth)
41. Collect like terms =
42. Add =
43. Subtract =
44. Multiply =
45. Divide and check. Write the answer using nonnegative exponents = (Simplify the answer. Type exponential notation using positive exponents).
46. Divide and Check. =
47. Divide =
48. Divide =

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Solution Summary

It is complete excercise to explain addition, subtraction, multiplication and division of polynomials. Step by step explanation is provided for problems. There are about 48 excercises.

Solution Preview

Exercises are solved by using equation writer, so a large fraction of work is not visible here. Please refer attached word document for complete details.

Solutions

1. Evaluate the expression. Assume 1
2. Evaluate when y = -2
3. Evaluate when
4. Express the following using a positive exponent. Then simplify the expression . Write using a positive exponent do not evaluate
5. Express using a positive exponent
6. Multiply and simplify
7. Divide and simplify = Divide and write the expression using positive exponents
Solution

8. Simplify
a. =36 d. =36
b. = e. =-36
c. = f. =36
9. Simplify =
10. Simplify and assume
11. Simplify
12. Convert to scientific notation 0.000000394= (Use scientific notation. Use the multiplication symbol in the math palette as needed.) 0.000000394=
13. Convert to decimal notation 5.424 x =0.00000005424
14. Multiply and write the result in scientific notation (2 x 10 ) (3 x 10 )= (Use scientific ...

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  • BEng (Hons) , Birla Institute of Technology and Science, India
  • MSc (Hons) , Birla Institute of Technology and Science, India
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