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

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

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 $5 x + 15 x$ .

Step 3 ：Then, we can factor by grouping: $5 x^{2} + 5 x + 15 x + 15$

Step 4 ：= $5 x (x + 1) + 15 (x + 1)$

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