Question

2nd romen 4 th sum answer

Answer 1

Here is the solution :

According to remainder theorem, if ,
f(x) = ax³ + bx² + cx + d, and if, f(x) is divided by gx+h , Then the remainder is f(zero of dividend), => f(-h/g)

Given that,

f(x) = 27 x³ - 54 x² + 3x - 4,

and dividend = g(x) = 1 - 3/2 x,

First find the zeroth of g(x)

=> Let g(x) = 0,

=> 1 - 3/2x = 0

=> 3/2 x = 1

=> x = 2/3,

Now,

according to remainder theorem, when f(x) is divided by g(x), The remainder should be f(2/3)

=> f(2/3) = 27 *(2/3)³ - 54*(2/3)² + 3*(2/3) - 4

=> 27*(8/27) - 54*(4/9) + 2 - 4

=> 8 - 24 + 2 - 4

=> -18

=> Remainder = -18,

Therefore, The answer is - 30,

Hope you understand, Have a great day,
Thanking you, Bunti 360 !.

Answer 2

Hey mate!!

Your answer is in the pic.

Hope it helps!!

^_^