Question

In the expression (x+5)² (x+5) (x+7)³ / (x+5) , what is the remainder?

a) 0
b) x+5
c) x−5
d) x²−25

Answer 1

The remainder in the expression (x+5)² (x+5) (x+7)³ / (x+5) is 0.

Step-by-step explanation:

To find the remainder in the expression (x+5)² (x+5) (x+7)³ / (x+5), we can simplify the expression first. Since we have (x+5) in both the numerator and the denominator, we can cancel them out. This leaves us with (x+5) (x+7)³. Now, to find the remainder, we substitute x=-5 into the expression:

(-5+5) (-5+7)³ = (0) (2)³ = 0

Hence, the remainder is 0.