Question

Factor completly 42 + 51x -18x^2

Answer 1

3(-3x-2)(2x-7)

Explanation:

42+51x-18x^2

-18x^2+51x+42

=3(-3x-2)(2x-7)

Hope this helps have a nice day....

Answer 2

-3(3 x + 2) (2 x - 7)

Explanation:

Factor the following:

-18 x^2 + 51 x + 42

Factor -3 out of -18 x^2 + 51 x + 42:

-3 (6 x^2 - 17 x - 14)

Factor the quadratic 6 x^2 - 17 x - 14. The coefficient of x^2 is 6 and the constant term is -14. The product of 6 and -14 is -84. The factors of -84 which sum to -17 are 4 and -21. So 6 x^2 - 17 x - 14 = 6 x^2 - 21 x + 4 x - 14 = 2 x (3 x + 2) - 7 (3 x + 2):

-32 x (3 x + 2) - 7 (3 x + 2)

Factor 3 x + 2 from 2 x (3 x + 2) - 7 (3 x + 2):

Answer: -3(3 x + 2) (2 x - 7)