Question

Divide. Write the quotient and the remainder.

(25m⁴ − 15m³ + 10m + 8) ÷ 5m³

Answer 1

(25m⁴ − 15m³ + 10m + 8) ÷ 5m³

= \[\frac{25 m^4 - 15 m^3 + 10m + 8}{5 m^3}\] 

= \[\frac{5 m^3 \left(5m - 3 \right) + \left(10m + 8 \right)}{5 m^3}\] 

= \[\frac{5 m^3 \left(5m - 3 \right)}{5 m^3} + \frac{\left(10m + 8 \right)}{5 m^3}\] 

= \[\left( 5m - 3 \right) + \frac{\left( 10m + 8 \right)}{5 m^3}\]

So, quotient = 5m - 3 and remainder = 10m + 8