Question

Factor 2m^2 + 27m + 70

Answer 1

[AI-generated answer — Bot GPT 3.5]

To factor 2m^2 + 27m + 70, we need to find two numbers that multiply to 140 (2*70) and add up to 27. The numbers that satisfy these conditions are 20 and 7.

Therefore, we can rewrite the expression as:

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

Now, we can factor by grouping:

2m(m + 10) + 7(m + 10)

(m + 10)(2m + 7)

So, the factored form of 2m^2 + 27m + 70 is (m + 10)(2m + 7).