Ask Question
24 August, 03:10

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

+2
Answers (1)
  1. 24 August, 03:55
    0
    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
Know the Answer?