Ask Question
5 July, 19:48

How to factor 2x^2+x-15

0
Answers (1)
  1. 5 July, 20:29
    0
    (2x - 5) • (x + 3)

    Step-by-step explanation:

    Step-1 : Multiply the coefficient of the first term by the constant 2 • - 15 = - 30

    Step-2 : Find two factors of - 30 whose sum equals the coefficient of the middle term, which is 1.

    -30 + 1 = - 29

    -15 + 2 = - 13

    -10 + 3 = - 7

    -6 + 5 = - 1

    -5 + 6 = 1 That's it

    Step-3 : Rewrite the polynomial splitting the middle term using the two factors found in step 2 above, - 5 and 6

    2x2 - 5x + 6x - 15

    Step-4 : Add up the first 2 terms, pulling out like factors:

    x • (2x-5)

    Add up the last 2 terms, pulling out common factors:

    3 • (2x-5)

    Step-5 : Add up the four terms of step 4:

    (x+3) • (2x-5)

    Which is the desired factorization

    Final result:

    (2x - 5) • (x + 3)
Know the Answer?
Not Sure About the Answer?
Get an answer to your question ✅ “How to factor 2x^2+x-15 ...” in 📙 Mathematics if there is no answer or all answers are wrong, use a search bar and try to find the answer among similar questions.
Search for Other Answers