Complete the square for:

2x² - 36x - 16

show work.

Step-1 : Multiply the coefficient of the first term by the constant 1 • - 8 = - 8

Step-2 : Find two factors of - 8 whose sum equals the coefficient of the middle term, which is - 18.

-8 + 1 = - 7

-4 + 2 = - 2

-2 + 4 = 2

-1 + 8 = 7

Observation : No two such factors can be found!

Conclusion : Trinomial can not be factored

Final result:

2 • (x2 - 18x - 8)