Question

If the product of two zeros of polynomial 2 x cube minus 9 x square + 13 - 6 is two third zeros of polynomial is what

Answer 1

Given: equation: 2x³ - 9x² + 13x - 6 = 0, product of two zeroes = 2

To find: Third zeros of polynomial?

Solution:

• Now, we have given that the product of the two zeroes is 2.

• So first,  lets say that let the three roots be x, y, z.

• Now, we know that product of three roots of a polynomial is always equal to -d/a.

• So:

          xyz = 6/2

          xyz = 3

          now product of two zeroes is 2, so

          (2) x (z) = 3

          z = 3/2

Answer:

               Third zeros of polynomial is 3/2.

Answer 2

The third zero of the polynomial is 3/2