Answer:
a = 2, b = 3 , c = - 14
Explanation:
given
2x² + 12x + 4
before completing the square we require the coefficient of the x² term to be 1
factor out 2 from 2x² + 12x
= 2(x² + 6x) + 4
to complete the square
add/subtract ( half the coefficient of the x- term )² to x² + 6x
= 2(x² + 2(3)x + 9 - 9) + 4
= 2(x + 3)² + 2(- 9) + 4
= 2(x + 3)² - 18+ 4
= 2(x + 3)² - 14 ← in the form a(x + b)² + c
with a = 2 , b = 3 , c = - 14