AllExperts > Algebra
   [logo_922.gif]  Search  ____________ Go

   Algebra
   Volunteer
   Answers to thousands of questions

    Home · More Algebra Questions · Answer Library   · Encyclopedia ·

   [logo_922.gif]
   More Algebra Answers
   Question Library

   Ask a question about Algebra
   Volunteer
   Experts of the Month
   Expert Login
   Awards
   About Us
   Tell friends
   Link to Us
   Disclaimer




   About Chanda Walker
   Expertise
   Any high school math problems. Please don't just type in the math
   problem without comments. If don't tell me about the trouble you are
   having, I can't help.
   Experience
   I have tutored in these areas for years and I home school. I use
   algebra, calculus, and statistics extensively in my career.
   Organizations
   SPIE Sigma Xi
   Publications
   Chapter in the book "Optical Systems Design" Applied Optics
   Education/Credentials
   BS in mathematics; PhD Optical Science
   Awards and Honors
   US Patent #7,106,457
   Past/Present Clients
   Intel HP Kodak Compaq Duke University NASA


   You are here:  Experts > Science > Math for Kids > Algebra > Math

Algebra - Math
   _______________________________________________________________________

   Expert: Chanda Walker - 2/28/2009
   Question
   Chandra
   Can you help with this
   B. Factor completely:
   a.   x2 5x 7x + 35
   b.   2x2 + 11x + 5
   c.   x4y 16y
   C. Solve the following problems involving applications of polynomials.
   a.   A photo is 4 inches longer than it is wide. A 3-inch border is
   placed around the photo making the total area of the photo and border
   165 square inches. What are the dimensions of the photo?
   b.   A rectangular patio is 7 ft longer than it is wide. Determine the
   dimensions of the patio if it measures 13 ft diagonally.
   c.   Three consecutive even integers are such that the square of the
   third is 100 more than the square of the second. Find the three
   integers.
   Answer
   x^2 - 5x - 7x + 35
   x(x - 5) - 7(x - 5)
   (x-7)(x-5)
   ********************
   2x^2 + 11x + 5
   (2x + 1)(x + 5)
   ********************
   x^4 y - 16y
   y(x^4 - 16)
   y(x^2 - 4)(x^2 + 4)
   y(x - 2)(x + 2)(x^2 + 4)
   ********************
   l = 4 + w
   a = (l+3)(w+3) = 165
   (4 + w + 3) (w + 3) = 165
   (w + 7)(w + 3) = 165
   w^2 + 10w + 21 - 165 = 0
   w^2 + 10w - 144 = 0
   (w - 8)(w + 18)
   w = {-18, 8}
   dimensions are rarely negative so
   w = 8
   l = 12
   ************************
   l = w + 7
   l^2 + w^2 = 13^2
   (w + 7)^2 + w^2 = 169
   2w^2 + 14w + 49 - 169 = 0
   2w^2 + 14w - 120 = 0
   (2w - 10)(w + 12) = 0
   w = {5, -12}
   w = 5
   l = 12
   ****************
   x, x+2, x+4
   (x+4)^2 = 100 + (x+2)^2
   x^2 + 8x + 16 = x^2 + 4x + 4 + 100
   4x + 16 - 104 = 0
   4x - 88 = 0
   4x =  88
   x = 22
   The integers are 22, 24, 26.

   Add to this Answer   Ask a Question
   Related Articles
   o  Die Hard: Vendetta Cheat Codes - Gamecube
   o  NBA Street Vol. 2 Cheats - Gamecube
   o  Lego Indiana Jones: The Original Adventures Cheats - Nintendo DS
   o  Lego Batman Cheats - Nintendo DS
   o  X2: Wolverine's Revenge Gamecube Cheat Codes


   [specials_experts;kw=;site=experts;chan=specials;pos=vmslot1;sz=160x600
   ;ord=1ACFBCP2C20kA0b1y]

   User Agreement | Privacy Policy | Kids' Privacy Policy | Help
   Copyright  © 2008 About, Inc. AllExperts, AllExperts.com, and About.com
   are registered trademarks of About, Inc. All rights reserved.