SOLUTION: If possible I need help with the following problems. Thank you for your help. (5-6y)(3y²-y-7) and Office Space: The length of a professors office is x feet, and the widt

Algebra ->  Equations -> SOLUTION: If possible I need help with the following problems. Thank you for your help. (5-6y)(3y²-y-7) and Office Space: The length of a professors office is x feet, and the widt      Log On


   

Question 24350: If possible I need help with the following problems. Thank you for your help.
(5-6y)(3y²-y-7)
and
Office Space: The length of a professors office is x feet, and the width is x+4 feet. Write the polynomial that represents the area. Find the area if x=10ft

Answer by Earlsdon(6294) About Me  (Show Source):
You can put this solution on YOUR website!
1) Multiply:
%285-6y%29%283y%5E2-y-7%29 = 15y%5E2-5y-35-18y%5E3%2B6y%5E2%2B42y = -18y%5E3%2B21y%5E2%2B37y-35
2)
A = L*W But Length is x feet and Width = (x+4) feet, so:
A+=+x%28x%2B4%29
A+=+x%5E2%2B4x This is the polynomial.
If x = 10 ft., then:
A+=+10%5E2+%2B+4%2810%29
A+=+100+%2B+40
A+=+140sq.ft. This is the area.