# Polynomials and Scientific Notation

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

https://brainmass.com/math/number-theory/polynomials-and-scientific-notation-132284

#### Solution Summary

Polynomials and scientific notation are investigated.

Polynomials, exponents, and scientific notation

Using the power rules with integral exponents

(2s^-1t^3)/(6s^2t-4)^3

9.3*10-5

Computations with scientific notations

9*10^-4/3*10^-6

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

(5x-6)(5x-6)

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

b^19/b^12

-12z^10y^2/-2z^4y^2

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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