Enter 1 if it is true else 0- 25m4-15m3-10m-8-5m3 -5m-3-2m2-85m3

25m^4 15m^3+10m+85m^3 =25m^45m^3 15m^35m^3+10m5m^3+85m^3 =5m 3+2m^2+85m^3 ...

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Standard VIII

Mathematics

Division of a Polynomial by a Monomial

Enter 1 if it...

Question

Enter 1 if it is true else 0.
$(25 m^{4} - 15 m^{3} + 10 m + 8) \div 5 m^{3}$ $= 5 m - 3 + \frac{2}{m^{2}} + \frac{8}{5 m^{3}}$

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Solution

$\frac{25 m^{4} - 15 m^{3} + 10 m + 8}{5 m^{3}}$
$= \frac{25 m^{4}}{5 m^{3}} - \frac{15 m^{3}}{5 m^{3}} + \frac{10 m}{5 m^{3}} + \frac{8}{5 m^{3}}$
$= 5 m - 3 + \frac{2}{m^{2}} + \frac{8}{5 m^{3}}$

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Enter 1 if it is true else 0. (25m4−15m3+10m+8)÷5m3 =5m−3+2m2+85m3

25m4−15m3+10m+85m3=25m45m3−15m35m3+10m5m3+85m3=5m−3+2m2+85m3

Enter 1 if it is true else 0.
$(25 m^{4} - 15 m^{3} + 10 m + 8) \div 5 m^{3}$ $= 5 m - 3 + \frac{2}{m^{2}} + \frac{8}{5 m^{3}}$

$\frac{25 m^{4} - 15 m^{3} + 10 m + 8}{5 m^{3}}$
$= \frac{25 m^{4}}{5 m^{3}} - \frac{15 m^{3}}{5 m^{3}} + \frac{10 m}{5 m^{3}} + \frac{8}{5 m^{3}}$
$= 5 m - 3 + \frac{2}{m^{2}} + \frac{8}{5 m^{3}}$