Question
Write the following polynomial in coefficient form.
i. $x^4+16$
ii. $m^5+2 m^2+3 m+15$

Answer

i. $x^4+16$
Index form $=x^4+0 x^3+0 x^2+0 x+16$
$\therefore$ Coefficient form of the polynomial $=(1,0,0,0,16)$ ii. $m ^5+2 m^2+3 m+15$
Index form $=m^5+0 m^4+0 m^3+2 m^2+3 m+15$
$\therefore$ Coefficient form of the polynomial $=(1,0,0,2,3,15)$

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