PLEASE HELP WILL MARK BRAINLIEST PLEASE HELP I NEED THIS NOW

Using the factoring process, what constant is added to the RIGHT side of the quadratic equation 2x2− 5x + ___ = 12 + ___ in order to solve by completing the square? (Remember, this is a two-step process.) A. -5/4 B. 5/2 C. 25 D. 25/8

a

step-by-step explanation:

the answer is:

mean: 6

mad: 2.14

1. when "a" is a root of a polynomial, (x -a) is a factor of it. for the three roots given, the factors of the desired polynomial are (x +2)(x -1/2)(x -3).

in order to make the leading coefficient be negative, we need to multiply this product by a negative number. any negative number will do, but we choose a small (magnitude) value that will eliminate the fraction: -2.

then

f(x) = -2(x +2)(x -1/2)(x -3) = -(x +2)(2x -1)(x -3)

= -(2x² +3x -2)(x -3)

= -(2x³ -3x² -11x +6)

f(x) = -2x³ +3x² +11x -6

2. a graph created by the desmos on-line graphing calculator is shown, and the zeros are highlighted.

3. as indicated in part 1, the multiplier of this equation can be anything and the zeros will remain the same. you want a negative leading coefficient, so the "anything" is restricted to any of the infinite number of numbers that will make that be the case.