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)

Answer 1

(i)
The coefficient form of the polynomial is (3, −2, 0, 7, 18).

Therefore, the index form the polynomial is 3x⁴ − 2x³ + 0x² + 7x + 18 or 3x⁴ − 2x³ + 7x + 18.

(ii)
The coefficient form of the polynomial is (6, 1, 0, 7).

Therefore, the index form the polynomial is 6x³ + x² + 0x + 7 or 6x³ + x² + 7.

(iii)
The coefficient form of the polynomial is (4, 5, −3, 0).

Therefore, the index form the polynomial is 4x³ + 5x² − 3x + 0 or 4x³ + 5x² − 3x.