Dev had x³-2x²-12x+16 candies. He distributed them equally among his

1.	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» 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.

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»

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.

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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.​

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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.