book Maths Puzzle Numerical Ability

how do you factor a binomial that has no common factors and are not perfect squares?
For example- how would you factor
4m^2+7m or
7m^2-4m

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book Other Question

Tickets for a concert were sold to adults for $3 and to students for $2. If the total receipts were $824 and twice as many adult tickets as student tickets were sold, then how many of each were sold? Juliet runs out of gas in Barnhaven, South Carolina. She walks 9 mi west and then 5 mi south looking for a gas station. How far is she from her starting point? Round to the nearest tenth.