And if you could give me an explanation that would be good but if you can’t at least give me the answer : (

g(x) = x^4 - 9x^3 + 18x^2 + 32x - 96 which is choice C

Explanation:

Given roots: -2, 4, 4, 3

Based on that, we know that x = -2, x = 4, x = 4, and x = 3. The repeat x value of 4 is needed to help deal with a double root (multiplicity 2)

x = -2 leads to x+2 = 0, so (x+2) is one factor

x = 4 leads to x-4 = 0, making (x-4) another factor. We have two copies of (x-4) as a factor

x = 3 leads to x-3 = 0 so (x-3) is the last factor

Overall, the four factors are: (x+2) and (x-4) and (x-4) and (x-3)

Use the distributive property to expand everything out

g(x) = (x+2)(x-4)(x-4)(x-3)

g(x) = ( (x+2)(x-4) ) * ( (x-4)(x-3) )

g(x) = ( x^2 - 2x - 8 ) * ( x^2 - 7x + 12 )

g(x) = x^2( x^2 - 7x + 12 ) - 2x( x^2 - 7x + 12 ) - 8( x^2 - 7x + 12 )

g(x) = x^4 - 7x^3 + 12x^2 -2x^3 + 14x^2 - 24x - 8x^2 + 56x - 96

g(x) = x^4 - 9x^3 + 18x^2 + 32x - 96

which shows how I got choice C as the answer

whole numbers.

step-by-step explanation:

we are given the average monthly rainfall (in millimeters) model r(m) for the years 1900-2009 as a function of the month number m.

as we can see m is taken for the number of months for years 1900-2009.

we know that number of months can't be a negative number or decimal number or a fraction.

so, the number of months could be only positive whole numbers.

therefore, whole numbers is more appropriate for the domain of r.

hreryryrranswer:

step-by-step explanation: