Which statement about the sum of a negative number and a positive number is true? Select two answers. A.
The sum must be positive.

B.
The sum will be positive if the absolute value of the negative number is greater than the absolute value of the positive number.

C.
The sum must be negative.

D.
The sum must be zero.

E.
The sum will be negative if the absolute value of the negative number is greater than the absolute value of the positive number.

F.
The sum will be zero if the absolute value of the negative number is equal to the absolute value of the positive number.

step-by-step explanation: hi!

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.

answer: can you show the options ?

step-by-step explanation: