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Write Each of the Following Polynomials in the Standard Form. Also, Write Their Degree. ( a 3 − 3 8 ) ( a 3 + 16 17 ) - Mathematics

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Question

Write each of the following polynomials in the standard form. Also, write their degree.

\[\left( a^3 - \frac{3}{8} \right)\left( a^3 + \frac{16}{17} \right)\]
Sum

Solution

\[( a^3 - \frac{3}{8})( a^3 + \frac{16}{17}) = a^6 + \frac{77}{136} a^3 - \frac{6}{17}\]
\[\text{Standard form of the given polynomial can be expressed as:} \]
\[( a^6 + \frac{77}{136} a^3 - \frac{6}{17}) or ( - \frac{6}{17} + \frac{77}{136} a^3 + a^6 )\]
\[\text{The degree of the polynomial is 6 .} \]

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Chapter 8: Division of Algebraic Expressions - Exercise 8.1 [Page 2]

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RD Sharma Mathematics [English] Class 8
Chapter 8 Division of Algebraic Expressions
Exercise 8.1 | Q 3.5 | Page 2

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