Question

When p(x)=4x³-12x²+11X-5 is devided by (2X-1) the remainder is

Answer 1

Answer:

• -2 is the remainder obtained.

Step-by-step explanation:

Given :

p(x) = 4x³ - 12x² + 11x - 5.

p(x) is divided by (2x - 1).

To find :

The remainder obtained ?

Solution :

We have,

• (2x - 1) = 0
• 2x = 1
• x = 1/2

[∵ Remainder theorem: If f(x) is the polynomial and is divided by (x - a), then the remainder is f(a)]

Now, x = 1/2

⇒ 4(1/2)³ - 12(1/2)² + 11(1/2) - 5

⇒ 4(1/8) - 12(1/4) + 11/2 - 5

⇒ 1/2 - 3 + 11/2 - 5

⇒ 6 - 3 - 5

⇒ 6 - 8

⇒ -2

∴ The remainder thus obtained is -2.