Question

Find the Remainder when the polynomial f(x) = 4x3 – 12x² + 14x -3 is divided by (2x-1)​

Answer 1

Answer:

Answer

2x−1=0⇒x=

2

1

.

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

2

1

).

Now, f(

2

1

)=[4×(

2

1

)

3

−12×(

2

1

)

2

+14×

2

1

−3]

=(

2

1

−3+7−3)=

2

3

.