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Divide. Write the Quotient and the Remainder. (6x5 − 4x4 + 8x3 + 2x2) ÷ 2x2 - SSC (English Medium) Class 8 - Mathematics

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Question

Divide. Write the quotient and the remainder.

(6x5 − 4x4 + 8x3 + 2x2) ÷ 2x2

Solution

(6x5 − 4x4 + 8x3 + 2x2) ÷ 2x2

\[= \frac{6 x^5 - 4 x^4 + 8 x^3 + 2 x^2}{2 x^2}\] 

\[ = \frac{2 x^2 \left( 3 x^3 - 2 x^2 + 4x + 1 \right)}{2 x^2}\] 

\[ = 3 x^3  - 2 x^2  + 4x + 1\]

So, quotient = \[3 x^3  - 2 x^2  + 4x + 1\] and remainder = 0

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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: 9 | Page no. 64
Solution Divide. Write the Quotient and the Remainder. (6x5 − 4x4 + 8x3 + 2x2) ÷ 2x2 Concept: Introduction to Polynomials.
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