1) Three notebooks, 2 binders and 1 pack of pencils costs $6. Two notebooks, 1 binder and 2 packs of pencils costs $6.92. One notebook, 3
binders and 3 packs of pencils costs $10.84. How much does one binder
cost?
WHAT DO I KNOW
DEFINE MY VARIABLES
I
N = notebooks
B = Binders.
P = pencils.
WRITE THE SYSTEM

ummm seems that u didnt post the attachement !

fd

step-by-step explanation:

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.