Question

2 and -1/3 are zeroes of the polynomial 3x^3-2x^2-7x-2 find the third zero of the polynomial.(Answer is -1 just need the working)

Answer 1

Answer

As 2 is given to zero of given polynomial , i.e x=2 , x-2=0

Divide polynomial with x-2 we will get a quadratic equation= 3x^2+4x+1

3x^2+4x +1=0

3x^2+3x+x+1=0

3x(x+1)+1(x+1)=0

(3x+1)+(x+1)=0

x=-1,-1/3

Third zero is -1