Question

Find the value of a if x3 +ax2 −x+5 is divided by x−2 and gives a remainder of 23.

Answer 1

Step-by-step explanation:

By remainder theorem

we have zeroes as (x-2)

so , x=2 and remainder =23

taking this into equation we have

2³+a2²-2+5=23

8+4a+3=23

4a=23-11

therefore a = 12/4 = 3