Q. 84.3( 16 Votes )

Write the polynomials in index form.

i. (1, 2, 3)

ii. (5, 0, 0, 0, -1)

iii. (-2, 2, -2, 2)

Answer :

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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