Write the following polynomials in coefficient form. i. x3 – 2 ii.

1.	Write the following polynomials in coefficient form. i. x3 – 2 ii. 5y iii. 2m4 – 3m2 + 7 iv. - (2/3)
Answer» i. x³ – 2 = x³ + 0x² + 0x – 2 ∴ Coefficient form of the given polynomial = (1, 0, 0, -2) ii. 5y = 5y + 0 ∴ Coefficient form of the given polynomial = (5,0) iii. 2m⁴ – 3m² + 7 = 2m⁴ + 0m³ – 3m² + 0m + 7 ∴ Coefficient form of the given polynomial = (2, 0, -3, 0, 7) iv. – (2/3) ∴Coefficient form of the given polynomial = - (2/3)

Write the following polynomials in coefficient form. i. x3 – 2 ii. 5y iii. 2m4 – 3m2 + 7 iv. - (2/3)

Answer»

i. x³ – 2 = x³ + 0x² + 0x – 2

∴ Coefficient form of the given polynomial = (1, 0, 0, -2)

ii. 5y = 5y + 0

∴ Coefficient form of the given polynomial = (5,0)

iii. 2m⁴ – 3m² + 7

= 2m⁴ + 0m³ – 3m² + 0m + 7

∴ Coefficient form of the given polynomial = (2, 0, -3, 0, 7)

iv. – (2/3)

∴Coefficient form of the given polynomial = - (2/3)