Factor 2m^2 + 27m + 70.
A. (2m + 7) (m + 10)
B. (2m + 10) (m + 7)
C. (2m + 3) (m + 20)
D. (2m + 7) (m - 10)
To factor the expression 2m^2 + 27m + 70, we need to find two binomials whose product is equal to this expression.
Looking at the first term, 2m^2, the only way to factor it is as (2m)(m).
Next, we need to find two numbers that multiply to give 70 and add up to give 27. The two numbers are 7 and 10.
Therefore, the expression can be factored as (2m + 7)(m + 10).
The correct answer is:
A. (2m + 7)(m + 10)