# Write the polynomials in index form.i. (1, 2, 3)ii. (5, 0, 0, 0, -1)iii. (-2, 2, -2, 2)

i. The given representation is the coefficient form of the polynomial. So, the first coefficient denotes the highest power of the variable.

Writing in the index form, the polynomial is:

1.x3 + 2x2 + 0.x + 3

x3 + 2x2 + 3

Index form of polynomial is x3 + 2x2 + 3

ii. The given representation is the coefficient form of the polynomial. So the first coefficient denotes the highest power of the variable and the power of last term is always zero.

= 5.x4 +0.x3 + 0.x2 + 0.x – 1

= 5x4 – 1

Therefore, the index form of the polynomial is = 5x4 – 1

iii. The given representation is the coefficient form of the polynomial. So the first coefficient denotes the highest power of the variable and the power of last term is always zero.

= -2.x3 + 2.x2 – 2.x + 2

= -2x3 + 2x2 – 2x + 2

Therefore, the index form of the polynomial is = -2x3 + 2x2 – 2x + 2

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