What is the factored form of 5x2 + 28x + 15? (5x + 3)(x + 5) (5x + 2)(x + 1)?

5x² + 28x + 15        

[ax² + bx + c]           Multiply the first term and the last term (a and c) together

5 × 15 = 75      Find the factors of 75 that add or subtract to 28 (b)

Factors of 75: 1, 3, 5, 15, 25, 75    [1 × 75, 3 × 25, 5 × 15]

3 and 25 add up to 28

Instead of 28x:

5x² + 28x + 15

You can replace it with:

5x² + 25x + 3x + 15    [25x and 3x add up to 28x]

Now factor the equation separately. Factor 5x out of (5x² + 25x), and factor 3 out of (3x + 15).

5x(x + 5) + 3(x + 5)         Factor out (x + 5)

(x + 5)(5x + 3)   The first option is your answer

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step-by-step explanation: