Question

If f(x) = 3x 3 - 5x 2 + 7x – 11 . Verify f(0) + f(1) = f(2). pls help i will mark as brainlist no spamming

Answer 1

QUESTION :-

If $f(x) = 3x^3 - 5x^2 + 7x - 11$ , Verify that $f(0) + f(1) = f(2)$ -

GIVEN :-

$f(x) = 3x^3 - 5x^2 + 7x - 11$

TO VERIFY :-

$f(0) + f(1) = f(2)$

SOLUTION :-

At x = 0, the Value of the Polynomial f (0) is (-11)

At x = 1, the Value of the Polynomial f (1) is (-6)

At x = 2, the Value of the Polynomial f (2) is 7

Verifying that $f(0) + f(1) = f(2)$ -

• Value of f (0) = (-11)

• Value of f (1) = (-6)

Here, the Value of f (2) is = 7

As  $\bold {(-11) + (-6) = -11 - 6 = (-17)}$, it's not Equivalent to f (2), (i.e.), 7

CONCLUSION :-

So, $\bold {f (0) + f (1) \neq f (2)}$

The Given Question is Verified....