Question

to. Find the remainder when - 4x + 4 - 4x3 + x4 is divided by 2x - 2 + x2. (A) 12x + 24 (B) - 44x + 32 (C) 20x + 24 (D) - 20x + 32 1​

Answer 1

2x−1=0⇒x= 21.

By the remainder theorem, we know that when f(x) is by (2x−1), the remainder is f( 21).

Now, f (21)=[4×(21)3−12×(21)

2+14×21−3] =( 21 −3+7−3)= 23.