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प्रश्न
Divide. Write the quotient and the remainder.
(25m4 − 15m3 + 10m + 8) ÷ 5m3
उत्तर
(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
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