Write the index form of the polynomial using variable x from its … - Vidyadip

Question

Write the index form of the polynomial using variable x from its coefficient form.
i. $(3,-2,0,7,18)$
ii. $(6,1,0,7)$
iii. $(4,5,-3,0)$

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Answer

i. Number of coefficients $=5$
$\therefore$ Degree $=5-1=4$
$\therefore$ Index form $=3 x^4-2 x^3+0 x^2+7 x+18 i i$. Number of coefficients $=4$
$\therefore$ Degree $=4-1=3$
$\therefore$ Index form $=6 x^3+x^2+0 x+7$
iii. Number of coefficients $=4$
$\therefore$ Degree $=4-1=3$
$\therefore$ Index form $=4 x^3+5 x^2-3 x+0$

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