Question

square root of polynomial m^4+6m^3+11m^2+6m+1​

Answer 1

$\textsf{I have found the square root of the given}$

$\textsf{polynomial by Long division method}$

$\begin{array}{r|ccccccccc}&m^2&+&3m&+&1&&&&\\\cline{2-10}\\m^2&m^4&+&6m^3&+&11m^2&+6m&+&1\\&m^4&&&&&&&&\\\cline{2-10}\\2m^2+3m&&&6m^3&+&11m^2&&&&\\&&&6m^3&+&9m^2&&&&\\\cline{2-10}\\2m^2+6m+1&&&&&2m^2&+&6m&+&1\\&&&&&2m^2&+&6m&+&1\\\cline{2-10}&&&&&&&&&0\\\cline{2-10}\end{array}$

$\textsf{Thus, we have}$

$\bf\sqrt{m^4+6m^3+11m^2+6m+1}=m^2+3m+1$

Find more:

Find the square root by long division method.

(i)17956 (ii) 11025 (iii) 6889 (iv) 1764

(v) 418609​

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