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mars1129 [50]
2 years ago
10

Solve. 9 m 3 − 27 m 2 − 252 m = 0

Mathematics
1 answer:
Brrunno [24]2 years ago
4 0

Answer:

m = 0

m = 7

m = -4

Step-by-step explanation:

\sf 9m^3-27m^2-252m=0

Divide by 9:

\sf \implies m^3-3m^2-28m=0

Factor out common term m:

\sf \implies m(m^2-3m-28)=0

Factor expression in parentheses:

\sf \implies m(m-7)(m+4)=0

Therefore,

\sf \implies m=0

\sf \implies m-7=0 \implies m=7

\sf \implies m+4=0 \implies m=-4

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