Question

(i) If one zero of the polynomial 3x^3- x^2 - 3x + 1 is 1, then find all the other zeros.​

Answer 1

Answer:

1(given)  1/3  -1

Step-by-step explanation:

if 1 is the root

x=1   ⇒x-1=0

let it be g(x)

let given polynomial be f(x)

if you divided the polynomial f(x) with g(x)

you get remainder r(x) = 3$x^{2}$ +2x -1

on factorising r(x)

you get the factors as

(3x-1)(x+1)  = 0

the other 2 roots are 1/3 and -1