Question

28.
For any second degree polynomial with two real unequal roots. The relation between Rolles
point rl and the two roots 12 is
(a) They are independent
(b) c=r1-12
(c) c=11+12)
(d) none of these
29​

Answer 1

Step-by-step explanation:

.

For any second degree polynomial with two real unequal roots. The relation between Rolles

point rl and the two roots 12 is

(a) They are independent

(b) c=r1-12

(c) c=11+12)

(d) none of these

29

Answer 2

Answer:

Explanation: The key here is to rewrite the function as y = -(x – 1)2 + 1

Observe here that on substituting – 19765 and 19767 in the equation we get

(-19766)2 + 1 and (-19766)2 + 1 respectively.

As we are dealing with their squared values they have to be equal

We have

f(-19765) = f(19767)

Polynomial functions are continuous and differentiable over the whole domain and hence by Rolles Theorem we must have a c such that f'(c) = 0 in the interval [-19765, 19767]

Hence, the claim is true.