Question

if a and b are the zeroes of a quadratic polynomial f (x) =x2 -2
x + 3 then find a quadratic polynomial whose zeroes a-1/a+1 and b-1 / b+1​

Answer 1

Answer:

u can see this answer in any of the reference books or search in google if not find

and listen can you plz mark me as a brainliest and also like my answer and plz follow me plzzzzzzzzzzzz

Answer 2

Answer:

0 and -6

Step-by-step explanation:

Let the quadratic polynomial be:

p(x) = x² + (a + 1)x + b

The two zeros are 2 and -3.

So p(2) = 0

∴2² + (a+1)*2 + b = 0

∴4 + 2a + 2 + b = 0

∴2a + b = -6 -------------------- (1)

Also, p(-3) = 0

∴(-3)² + (a+1) * (-3)  + b = 0

∴9 -3a - 3 + b = 0

∴6 = 3a - b

∴3a - b = 6 ----------------- (2)

Solving the two equations by Elimination Method (You can use other methods also),

2a + b = -6

3a - b = 6                       (Adding (1) and (2)  )

----------------

∴ 5a = 0

∴ a = 0

Substituting a = 0 in equation (1),

2a + b = -6

∴2(0) + b = -6

∴0 + b = -6

∴b = -6

Thus a = 0 and  b = -6.