Question

Find the remainder when

x^3 + 2x^2 - 2x + 5

is divided by (2x - 1) and (x + 2)​

Answer 1

Answer:

Case 1 = 37/8

Case 2 = 9

Step-by-step explanation:

In case one.

x = 1/2

Therefore,

x³ + 2x² - 2x + 5 = 1/8 + 2(1/4) - 2(1/2) + 5

=1/8 + 1/2 - 1 + 5 = 1/8 + 1/2 + 4

Taking LCM as 8

= 1 + 4 + 32 / 8

= 37 / 8

In case two.

x = -2

x³ + 2x² - 2x + 5 = -8 + 2(4) - 2(-2) + 5

= - 8 + 8 + 4 + 5 = 4 + 5 = 9