You can put this solution on YOUR website! 2x² + 3x + 1
= 2x² + 2x + x + 1 {split the 3x into 2x and x using factoring by grouping}
= 2x(x + 1) + 1(x + 1) {factored 2x out of first two terms and 1 out of last two terms}
= (2x + 1)(x + 1) {factored (x + 1) out of the two terms}