Question

if (x-3) and (x-1/3) are factor of polynomial ax^{2} -10x+b then find the relation between a and b

Answer 1

Step-by-step explanation:

sum =3+1/3 =10/3

product=1 =a/b

so a=b

Answer 2

Answer:

Step-by-step explanation:

in this case if (x-3) and (x-1/3) are factors then 3 and 1/3 are the zeroes of the polynomial

The sum of zeroes if a polynomial are -b/a

3 + 1 =  10

     3      a

9 + 1  = 10

   3        a

a = 3

The product of the zeroes of a polynomial are c/a

3  x  1 =   b

       3      a

 1  =   b

          3

1 x 3 = b

3 =b