Question

divide and write the quotient and remainder (m4 - 16m2 + 6m - 20) ÷ (m-4)​

Answer 1

step by step explanation☝️

Answer 2

The quotient is $m^3 + 4m^2 + 6$and the remainder is 4.

Step-by-step explanation:

The given question is $(m^4 - 16m^2 + 6m - 20)$ ÷ $(m-4)$

It can be solved using the division method.

First step : Quotient is taken as $m^3$, then terms obtained are $m^4 - 4m^3$, on subtraction, $4m^3$remains.

Second step: $-16m^2$ is brought down, and quotient is taken as $4m^2$, then terms obtained are $4m^3 - 16m^2$, on subtraction, all the terms cancel out.

Third step: $6m-20$ is brought down, and quotient is taken as $+6$, then terms obtained are $6m-24$, on subtraction, $4$is obtained as remainder.

Hence, the quotient is $m^3 + 4m^2 + 6$and the remainder is 4.

(See attached figure)