Mathematics

The key is recognizing that you need two binomials whose product gives you this quadratic. Start by identifying what the leading coefficient (2) and constant term (3) tell you about the factors—specifically, which pairs of numbers multiply to give $2 \times 3 = 6$ and also add up to the middle coefficient $-7$. Once you find that pair, you can rewrite the middle term and factor by grouping, or use the AC-method to split the quadratic into two factorable pieces.

The key is recognizing that you need two binomials whose product gives you this quadratic. Start by identifying what the leading coefficient (2) and constant term (3) tell you about the factors—specifically, which pairs of numbers multiply to give $2 \times 3 = 6$ and also add up to the middle coefficient $-7$. Once you find that pair, you can rewrite the middle term and factor by grouping, or use the AC-method to split the quadratic into two factorable pieces.