solve x^3/5-ax^2+x-6(identically equal to)bx^3+x+c

Question

find the values of a.b and cthe answer being a=0,b=1/5,c=-6

i just need to know how it comes to get that answer

thankyou

Answer 1

x^3 /5 - ax^2 + x - 6 = bx^3 + x + c

(1/5)x^3 - a x^2 + x - 6 = b x^3 + x + c

1/5 x^3 corresponds to b x^3 b = 1/5,

-a x^2 has no value on the other side of the equal sign so a = 0,

x corresponds to x

and 6 corresponds to c, c = 6