Question

Find the remainder when P(x) =4x^3-12^2+14x+3 is divided by g(x) = (2x - 1) using remainder Theorem​

Answer 1

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

.

Answer 2

g(x)=2x-1

let g(x) = 0

then x=1/2

substitute the x in above equation

(4×1/2)³-12²+14(1/2)+3

64x1/8-144+7+3

8-144+10

18-144

-129