Question

The equation (x^3/3) - (1/2x^2) + 4 = 0 can be written in the form ax^n + bx^(n-3) - 3 = 0.
Find the value of a, the value of b and the value of n.

Answer 1

Step-by-step explanation:

General form of a cubic polynomial is ax

3

+bx

2

+cx+d

⇒ax

n−1

+bx

n−2

+cx

n−3

=ax

3

+bx

2

+cx+d

⇒n−1=3 (on comparing the coefficients)

⇒n=3+1=4

∴n=4