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Maharashtra State BoardSSC (English Medium) 8th Standard

Divide and write the quotient and the remainder. (a4 − a3 + a2 − a + 1) ÷ (a3 − 2) - Marathi (Second Language) [मराठी (द्वितीय भाषा)]

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Question

Divide and write the quotient and the remainder.

(a4 − a3 + a2 − a + 1) ÷ (a3 − 2)

Sum

Solution

(a4 − a3 + a2 − a + 1) ÷ (a3 − 2)

                a - 1
`a^3 - 2")"overline(a^4 + a^3+a^2-a +1)`
           a4 + 0a3 + 0a2 - 2a  
           -      -      -         +       
                -a3 + a2 + a + 1
                -a3 + 0a2 + 0a + 2 
              +      -       -     -      
                     a2 + a - 1

So, quotient = a - 1 and remainder = a2  + a - 1

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Division of Algebraic Expressions - Divide a Polynomial by a Binomial
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Chapter 10: Division of Polynomials - Practice Set 10.2 [Page 66]

APPEARS IN

Balbharati Mathematics [English] 8 Standard Maharashtra State Board
Chapter 10 Division of Polynomials
Practice Set 10.2 | Q 6 | Page 66
Balbharati Integrated 8 Standard Part 3 [English Medium] Maharashtra State Board
Chapter 3.1 Division of Polynomials
Practice Set 10.2 | Q 1. (6) | Page 41
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