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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.

Solution Summary

This provides examples of working with exponents, scientific notations, and polynomials, including operations and evaluation. It also includes area and perimeter word problems.