What is the relationship between 8.76 x 10^6 and 8.76 x 10^2

To find how many times greater you have to divide.In this question the bases are the same. This means you can use the exponent law for division.

The exponent for division sates that if you are dividing numbers with the same base but different exponents you can subtract the exponents.  

(8.76 x 10e6)divided by (8.76 x 10e2)

The answer of that is 8.76x10e4

This is because e6-e2 is e4

Therefore 8.76x10e6 is 10e4 times greater than 8.76x10e2

answer: the correct answer is -32

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.