Question
Write the polynomials in index form.
i.$(1, 2, 3)$
ii. $(5, 0, 0, 0 ,-1)$
iii. $(-2, 2, -2, 2)$
i.$(1, 2, 3)$
ii. $(5, 0, 0, 0 ,-1)$
iii. $(-2, 2, -2, 2)$
✓
Answer
i. Number of coefficients $=3$
$\therefore$ Degree $=3-1=2$
$\therefore$ Taking x as variable, the index form is $x ^2+2 x +3 ii$. Number of coefficients $=5$
$\therefore$ Degree $=5-1=4$
$\therefore$ Taking x as variable, the index form is $5 x ^4+0 x ^3+0 x ^2+0 x -1$
iii. Number of coefficients $=4$
$\therefore$ Degree $=4-1=3$
$\therefore$ Taking x as variable, the index form is $-2 x ^3+2 x ^2-2 x +2$
$\therefore$ Degree $=3-1=2$
$\therefore$ Taking x as variable, the index form is $x ^2+2 x +3 ii$. Number of coefficients $=5$
$\therefore$ Degree $=5-1=4$
$\therefore$ Taking x as variable, the index form is $5 x ^4+0 x ^3+0 x ^2+0 x -1$
iii. Number of coefficients $=4$
$\therefore$ Degree $=4-1=3$
$\therefore$ Taking x as variable, the index form is $-2 x ^3+2 x ^2-2 x +2$
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