Write the index form of the polynomial using variable x from its coeff

1.	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» i. Number of coefficients = 5 ∴ Degree = 5 – 1 = 4 ∴Index form = 3x⁴ – 2x³ + 0x² + 7x + 18 ii. Number of coefficients = 4 ∴Degree = 4 – 1 = 3 ∴ Index form = 6x³ + x² + 0x + 7 iii. Number of coefficients = 4 ∴ Degree = 4 – 1 = 3 ∴ Index form = 4x³ + 5x² – 3x + 0

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»

i. Number of coefficients = 5

∴ Degree = 5 – 1 = 4

∴Index form = 3x⁴ – 2x³ + 0x² + 7x + 18

ii. Number of coefficients = 4

∴Degree = 4 – 1 = 3

∴ Index form = 6x³ + x² + 0x + 7

iii. Number of coefficients = 4

∴ Degree = 4 – 1 = 3

∴ Index form = 4x³ + 5x² – 3x + 0