SOLUTION: Fill in the blank with a constant, so that the resulting expression can be factored as the product of two linear expressions: 2mn - m + 7n - ___

Algebra.Com
Question 1209131: Fill in the blank with a constant, so that the resulting expression can be factored as the product of two linear expressions:
2mn - m + 7n - ___

Answer by mccravyedwin(408)   (Show Source): You can put this solution on YOUR website!

2mn - m + 7n - ___

Let's try to factor it, thinking of "FOIL":



Let's try 2m and n for the "Firsts"



Then to get the 7n for the "Inners" we have to put a +7 in the right of the first parentheses.



Finally to get the -m for the "LASTS" we must put  in the remaining blank.



So when you FOIL that out you get



So the term we have to add is the "OUTERS" .

[You already had a - sign, so what we'd put in the blank would be . 

Edwin


RELATED QUESTIONS

Fill in the blank with a constant, so that the resulting expression can be factored as... (answered by Edwin McCravy,ikleyn,greenestamps)
Fill in the blank with a constant, so that the resulting expression can be factored as... (answered by ikleyn)
Fill in the blank with a constant, so that the resulting expression can be factored as... (answered by CPhill)
Fill in the blank with < or > so that the resulting inequality is true. 7/16... (answered by Menjax)
Find the largest value of n such that 5x^2+nx+48 can be factored as the product of two... (answered by ewatrrr)
Find the number of possible values of p so that {{{ 6x^2+px+12 }}} can be factored as the (answered by josgarithmetic)
What are the number of possible values of b so that 4x² + bx - 9 can be factored as the... (answered by Solver92311)
Find the number of possible values of p so that 4x2+ px-9 can be factored as the product... (answered by asinus)
Find the constant k so that 2x^2 + 5xy - 8y^2 + 7x + 25y + k can be expressed as the... (answered by CPhill)