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show me how to factor the common factor out of 28m^4+40m^3+8

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2 Answers

Break each term down into its prime factors:

28m^4=2^2*7*m^4
40m^3=2^3*5*m^3
8=2^3

Now look at the common factors to all 3. In this case it is 2^2=4. Divide each term by 4...

4(7m^4+10m^3+2)

4 is the common factor.  So we are left with 4 (7m^4 + 10m^3 + 2).