Question

Find the polynomial.(-1/3,4) is the solution set of

Answer 1

Answer: The required polynomial is

`3x^2-11x-4=0`

Explanation:

Since we have given that

(-1/3,4) is the solution set

We need to find the polynomial.

Since it has only two roots. So, it must be quadratic polynomial.

`(x+(1)/(3))(x-4)\\\\=x(x-4)+(1)/(3)(x-4)\\\\=x^2-4x+(1)/(3)x-(4)/(3)\\\\=x^2+(-12x+x)/(3)-(4)/(3)\\\\=x^2+((-11x)/(3))-(4)/(3)\\\\\implies 3x^2-11x-4=0`

Hence, The required polynomial is

`3x^2-11x-4=0`