## Precalculus: Mathematics for Calculus, 7th Edition

6$x^2$ + 7x - 5
The FOIL method stands for First, Outside, Inside, Last. This means you multiply the first term of each binomial together, in this instance 3x and 2x, giving 6$x^2$. Next you multiply the two "Outside" terms, meaning the first term of the first expression and the second term of the second expression, in this case 3x and -1, giving -3x. Next you multiply the "Inside" terms, meaning the second term of the first expression and the first term of the second expression, in this case 5 and 2x, giving 10x. Finally you multiply the last terms, 5 and -1, giving -5. Now add the terms from these four operations: 6$x^2$ + -3x + 10x + -5 6$x^2$ + 7s - 5