Ask Question
18 March, 05:01

Solve the equation by the zero factor property 6x^2 - 5x - 6=0

+4
Answers (1)
  1. 18 March, 05:19
    0
    First, you need to factor the polynomial.

    I'll use the trial and error method.

    6x^2 - 5x - 6 = 0

    6 has factors

    6 and 1

    3 and 2

    I'll try 3 and 2 first.

    (3x) (2x) = 0

    Now we need to factor - 6.

    -6 factors into

    -1, 6

    -6, 1

    -2, 3

    -3, 2

    Now we need to see if one of these pairs of factors placed correclty will factor the trinomial.

    (3x + 2) (2x - 3) = 0

    That did it.

    Now we use the zero factor property.

    3x + 2 = 0 or 2x - 3 = 0

    3x = - 2 or 2x = 3

    x = - 2/3 or x = 3/2
Know the Answer?
Not Sure About the Answer?
Find an answer to your question 👍 “Solve the equation by the zero factor property 6x^2 - 5x - 6=0 ...” 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