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Polynomials and Scientific Notation

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Need the attached six (6) problems solved, so that I can then solve other similar problems. Instructions are in the attached word document.

Subtracting polynomials. Show all steps in arriving at the answer.

a. (t^2 - 6t + 7) - (5t^2 - 3t - 2)

Multiplying polynomials. Show all steps in arriving at the answer.

b. Swimming space. The length of a rectangular swimming pool is 2x - 1 meters, and the width is x + 2 meters. Write a polynomial that represents the area. Find the area if x is 5 meters.

Use the FOIL method to find each product.
c. (5y^3w^2 + z)(2y^3w^2 + 3z)

Write each expression in the form

remainder
quotient + divisor

d. 2x^2 + 4
2x
Simplify each expression. The answer should be an integer or a fraction.

2
e. 3
3^3

Write answer using the rules of exponents with scientific notation. Perform computation. Write the answer in scientific notation.

f. 1 * 10^ -8
4 * 10^7

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Solution Summary

Polynomials and scientific notation are investigated.

Solution provided by:
Education
  • BSc , Wuhan Univ. China
  • MA, Shandong Univ.
Recent Feedback
  • "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!"
  • "Thank you"
  • "Thank you very much for your valuable time and assistance!"
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