Ask Question
13 April, 04:44

Factor the trinomial f (x) = 2x² + 5x - 12?

+5
Answers (1)
  1. 13 April, 05:06
    0
    (x + 4) (2x - 3)

    Step-by-step explanation:

    Given

    f (x) = 2x² + 5x - 12

    Consider the factors of the product of the x² term and the constant term which sum to give the coefficient of the x - term.

    product = 2 * - 12 = - 24 and sum = + 5

    The factors are + 8 and - 3

    Use these factors to split the x - term

    2x² + 8x - 3x - 12 (factor the first/second and third/fourth terms)

    2x (x + 4) - 3 (x + 4) ← factor out (x + 4) from each term

    (x + 4) (2x - 3)

    Thus

    f (x) = 2x² + 5x - 12 = (x + 4) (2x - 3) ← in factored form
Know the Answer?
Not Sure About the Answer?
Find an answer to your question 👍 “Factor the trinomial f (x) = 2x² + 5x - 12? ...” in 📗 Mathematics if the answers seem to be not correct or there’s no answer. Try a smart search to find answers to similar questions.
Search for Other Answers