Question

Dev had x³-2x²-12x+16 candies. He distributed them equally among his (x-4) friends. If he gave each friend the maximum possible number of candies while dividing equally among them, then find the number of leftover candies.​

Answer 1

Step-by-step explanation:

you have to divide x³-2x²-12x+16 by x-4

the quotient will be the number of candies.

but make sure that the remainder is zero.

by remainder theorem

let p(x)=x³-2x²-12x+16

x-4=0

x=4

p(4)= (4)³-2(4)²-12(4)+16

=64-32-48+16

=32-32=0

hence the remainder is zero.

now you can divide p(x) by x-4 and the quotient is the number of candies.