Question

A) What number must be added to 2x3 - 7x2 + 2x so that the resulting polynomial
leaves the remainder -2 when divided by 2x - 3?​

Answer 1

Answer:

47/2

Step-by-step explanation:

Let, added number = D

A/Q,

When 2x³-7x²+2x+D is divided by 2x-3, the remainder is -2, then

2x+3=0, x=-3/2

putting,

2(-3/2)³-7(-3/2)²+2(-3/2)+D = -2

-54/8 - 63/4 - 3+D = -2

D = -2+3+54/8+63/4 = 47/2.