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. 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 + 5x³ – 3x + 0