Question

Find the remainder when the polynomial f (x) =4x^3 - 12x^2 + 14x -3 is divided by (2x-1).

Answer 1

Answer: 1.5

Step-by-step explanation:

By remainder thorem,

When$f(x)=4x^3 - 12x^2 + 14x -3$ is divided by $2x-1$, remainder is f(a)

$So, 2x-1=0\\2x=1\\x=1/2$

Now,

$=4*(1/2)^3 - 12*(1/2)^2 + 14*(1/2) -3\\\\=4/8-12/4+14/2-3\\=1/2-3+7-3\\=1/2+7-6\\=1/2+1=3/2=1.5$