Advertisement Remove all ads

The Area of a Rectangle is X3 – 8x2 + 7 and One of Its Sides is X – 1. Find the Length of the Adjacent Side. - Mathematics

Advertisement Remove all ads
Advertisement Remove all ads
Advertisement Remove all ads
Sum

The area of a rectangle is x3 – 8x + 7 and one of its sides is x – 1. Find the length of the adjacent side.

Advertisement Remove all ads

Solution

Area = x3 − 8x + 7

One side = x − 1

∴ Adjacent side = (x3 − 8x + 7) ÷ (x − 1)

`"x"-1)overline("x"^3-8"x"+7)("x"-7"x"-7`

          x3 − x2
       −       +           
       − 7x2 + 7x
       − 7x2 + 7x
       +       −            
       − 7x + 7 
       − 7x + 7    
       +      −            
            ×                 

∴ Other side = x2 − 7x − 7

Concept: Division of Algebraic Expressions - Dividing a Polynomial by a Polynomial
  Is there an error in this question or solution?

APPEARS IN

Selina Concise Mathematics Class 8 ICSE
Chapter 11 Algebraic Expressions
Exercise 11 (D) | Q 3 | Page 146
Advertisement Remove all ads
Share
Notifications

View all notifications


      Forgot password?
View in app×