Ask Question
17 December, 04:34

Chose the correct item from drop down menu to factor the trinomial 3x^2+13x-10

+5
Answers (1)
  1. 17 December, 04:57
    0
    (3x-2) (x+5)

    Step-by-step explanation:

    First, set up an X to solve for potential factors. The two factors should add up to the middle value (13) and multiply to equal to the combined value of the first and third values (-30 (3 x - 10)).

    Find which two numbers can add to equal 13 and multiply to equal - 30: - 2 and 15.

    Split the middle value into those two values like so:

    3x^2 + 15x - 2x - 10

    Now, factor out 3x from the first two values and - 2 from the last two, like so:

    3x (x + 5) - 2 (x + 5)

    Now, because both 3x and - 2 are multiplied by the same factor, you can split the above expression into the new, factored expression:

    (3x - 2) (x + 5)
Know the Answer?
Not Sure About the Answer?
Find an answer to your question 👍 “Chose the correct item from drop down menu to factor the trinomial 3x^2+13x-10 ...” 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