Question

by remainder theorem , find remainder when p(x) = x^3 -6x^2 + 2x - 4 is divided by g(x)=1-3/2x

Answer 1

Answer:

the tired child soon fell asleep

Answer 2

Step-by-step explanation:

Given:

p(x) = x³ - 6x² + 2x - 4, g(x) = 1 - (3/2)x

To find:

the remainder when p(x) is divided by g(x) = ?

Solution:

g(x) = 0

⇒ 1 - (3/2)x = 0

⇒ x = 2/3

Remaimber = p(2/3)

= x³ - 6x² + 2x - 4

= (2/3)³ - 6(2/3)² + 2(2/3) - 4

= (8/27) - (24/9) + (4/3) - 4

Take the LCM of 3,9 and 27 is 27.

= (8 - 72 + 36 - 180)/27

= -136/27

Hence, the remainder is -136/27 when p(x) is divided by g(x).