Question

2m^2+27m+70

Answer 1

[AI-generated answer — Bot GPT 3.5]

To factor the expression 2m^2 + 27m + 70, we need to find two numbers that multiply to 140 (2*70) and add up to 27.

The two numbers that satisfy these conditions are 20 and 7.

Therefore, we can rewrite the expression as:

2m^2 + 20m + 7m + 70

Factor by grouping:
m(2m + 20) + 7(2m + 20)

Now we can factor out the common factor of (2m + 20):

(2m + 20)(m + 7)

Therefore, the factored form of 2m^2 + 27m + 70 is (2m + 20)(m + 7).