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Divide. Write the Quotient and the Remainder. (25m4 − 15m3 + 10m + 8) ÷ 5m3 - SSC (English Medium) Class 8 - Mathematics

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Question

Divide. Write the quotient and the remainder.

(25m4 − 15m3 + 10m + 8) ÷ 5m3

Solution

(25m4 − 15m3 + 10m + 8) ÷ 5m3

\[= \frac{25 m^4 - 15 m^3 + 10m + 8}{5 m^3}\] 

\[ = \frac{5 m^3 \left( 5m - 3 \right) + \left( 10m + 8 \right)}{5 m^3}\] 

\[ = \frac{5 m^3 \left( 5m - 3 \right)}{5 m^3} + \frac{\left( 10m + 8 \right)}{5 m^3}\] 

\[ = \left( 5m - 3 \right) + \frac{\left( 10m + 8 \right)}{5 m^3}\]

So, quotient = \[5m - 3\] and remainder = \[10m + 8\]

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APPEARS IN

 Balbharati Solution for Balbharati Class 8 Mathematics (2019 to Current)
Chapter 10: Division of Polynomials
Practice Set 10.1 | Q: 10 | Page no. 64
Solution Divide. Write the Quotient and the Remainder. (25m4 − 15m3 + 10m + 8) ÷ 5m3 Concept: Introduction to Polynomials.
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