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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

quotient + divisor

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

e. 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.

See Also This Related BrainMass Solution

Polynomials, exponents, and scientific notation

Using the power rules with integral exponents


Computations with scientific notations

Evaluating Polynomials
-2x^4 - 3x^2 + 5x -9 for x =2

Multiplying Monomials
-12sq * 3a

Multiplying Polynomials
(3c^2d - d^3 + 1) 8cd^2

Perform the operation

Use the foil method to find each product
(11x + 3y) (x+4y)

foil method
(5y^3w^2 + 2) (2y^3 w^2 + 3z)

Multiplying Binomials Quickly
(3h -5) (3h + 5)

Product of a sum and difference
( 3y^2 + 1) ( 3y^2 - 1)

Find each product
(3z^4 -8)^2

(2/3y - 1/2)^2

Dividing Monomials


Dividing a polynomial by a monomial
5y^3 -10/-5

Write the expression in the form
quotient + remainder/divisor

2x^2 + 4/ 2x

Area of a dot. If the radius of a very small circle is 2.35 * 10^-8 centimeters, then what is the circle's area?

Perimeter of a rectangle. The perimeter of a rectangular backyard is 6x + 6 yards. If the width is x yards, find a binomial that represents the length.

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