Factor Trinomials $(a>1)$ Level 1 Unique ID:0716 Score: $0 / 1$ Penalty: none Question Factor the trinomial: \[ 5 x^{2}+28 x+15 \] Answer Attempt 1 out of 2 Submit Answer

Step 1 ：To factor the trinomial, we need to find two numbers that multiply to 75 (5*15) and add to 28. Those numbers are 5 and 15.

Step 2 ：So, we can rewrite the middle term of the trinomial as \(5x + 15x\).

Step 3 ：Then, we can factor by grouping: \(5x^2 + 5x + 15x + 15\)

Step 4 ：= \(5x(x + 1) + 15(x + 1)\)

Step 5 ：\(\boxed{(5x + 15)(x + 1)}\) is the factored form of the trinomial \(5x^2 + 28x + 15\).