Factor Trinomials $(a> 1)$ Level 1
Unique ID:0716
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Question

Factor the trinomial:
\[
5 x^{2}+28 x+15
\]

Answer Attempt 1 out of 2
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Answer

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Answer

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

Steps

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 $5x^2 + 28x + 15$.