Question

Hey, can you factor completely 6x^2+11x-10 as (6x-4)(x-15/6)?

I know the proper way is (3x−2)(2x+5) but i did it this way and want to know if it is correct.

Answer 1

Answer:

The answer to your question is below

Step-by-step explanation:

Factor completely                          6x² + 11x - 10

1.- Multiply 6 by -10 = -60

2.- Find the prime factors of -60

       -60     2

       -30     2

       -15      3                60 = 2 x 2 x 3 x 5

       -5        5              Combine these numbers so, if add them up give +11

       -1                          and if multiply equals -60.

                                   These numbers are +15 and -4

                                    Instead of writing +11x, in the original equation, write,                

                                    + 15x - 4x.

                                    6x² - 4x + 15x - 10       Factorize like terms

                                    2x(3x - 2) + 5(3x - 2)   Factorize like terms

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

Sorry, I could not get (6x - 4) (x - 15/6)