Question

Q.If a and B are the zeroes of the polynomial f(x) = 6x2 + x-2, find the value of 1/a + 1/B
- aB
​

Answer 1

Answer:

5/6

Step-by-step explanation:

The given polynomial f(x) is 6x² + x -2

If a and B are the zeroes of the polynomial f(x)

Then, (x-a)(x-B) =  6x² + x -2

                          = 6x² + 4x - 3x -2

                          = (3x+2)(2x-1)

or a = -2/3, B = 1/2

Therefore, 1/a + 1/B -aB = -3/2 +2 + 1/3 = 5/6.