C: Moved down and to the left
{0,3,5,8} ok this0 is the an0sw0er
First answer is 4 chances and second answer is 2 chances
Answer:
Step-by-step explanation:
Polynomial f(x) has the following conditions: zeros of -2 (multiplicity 3), 3 (multiplicity 1), and with f(0) = 120.
The first part zeros of -2 means (x+2) and multiplicity 3 means (x+2)^3.
The second part zeros of 3 means (x-3) and multiplicity 1 means (x-3).
The third part f(0) = 120 means substituting x=0 into (x+2)^3*(x-3)*k =120
(0+2)^3*(0-3)*k = 120
-24k = 120
k = -5
Combining all three conditions, f(x)
= -5(x+2)^3*(x-3)
= -5(x^3 + 3*2*x^2 + 3*2*2*x + 2^3)(x-3)
= -5(x^4 + 6x^3 + 12x^2 + 8x - 3x^3 - 18x^2 - 36x - 24)
= -5(x^4 + 3x^3 - 6x^2 - 28x -24)
= -5x^4 - 15x^3 + 30x^2 + 140x + 120
Answer:
The polynomial is:
Step-by-step explanation:
Zeros of a function:
Given a polynomial f(x), this polynomial has roots 
such that it can be written as: 
, in which a is the leading coefficient.
Zeros of −3, −1, and 2
This means that 
. Thus
Passes through the point (1,12).
This means that when 
. We use this to find a.
Thus
