Question

Please factor these two equations.

Answer 1

Answer:

The answer to your question is 9.  (2x - 3)(3x - 4)      10.   (x + 4)²    

Step-by-step explanation:

9.               6x²  -  17x + 12

-Multiply 6 by 12 and find the prime factors of the result

              6 x 12 = 72

                                  72   2

                                  36   2

                                   18   2

                                     9  3

                                     3  3

                                      1

-Find two numbers that added gives -17

-These numbers are -8 and -9

-Substitution

                    6x² - 9x - 8x + 12

-Factor by grouping

                   3x(2x - 3) - 4(2x - 3)

                   (2x - 3)(3x - 4)    

10.                x²  + 8x  + 16

-Find two numbers that added gives 8 and multiply gives 16

-These numbers are 4 and 4

-Factor like a perfect square trinomial

                  (x + 4)²