One factor of the function f(x) = x^3 − 9x^2 + 20x − 12 is (x − 6). Describe how to find the x-intercepts and the y-intercept of the graph of f(x) without using technology. Show your work and include all intercepts in your answer.

The Function is:

F(X) = X³ - 9X² + 20X -12

One of the roots is given, when in the statement it was said that X-6, so the root its +6

Dividing the function by X - 6, we get the other 2 roots, because the function is composed by the multiplication of the roots in the form:

F(X) = aX³ + bX² + cX - d

(X - P).(X - Q).(X - R)   (where P, Q and R are the roots)

In this problem we already have X - 6, SO

(X - P).(X - Q).(X - 6)

(X³ - 9X² + 20X -12) ÷ (X - 6) = (X - P).(X - Q)

(X³ - 9X² + 20X -12) ÷ (X - 6) = X² - 3X + 2

X² - 3X + 2

Δ = 1

X' = 2 and X'' = 1

(X - P).(X - Q).(X - 6)  ⇔ (X - 2).(X - 1).(X - 6)

So

(X³ - 9X² + 20X -12) = (X - 2).(X - 1).(X - 6)

The roots are: 2, 1 and 6  these are the points that the function crosses the x axis

F(X) = aX³ + bX² + cX - d

d = point where the function crosses the y axis

So 12 y-intercept of the graph of f(x)

the answer is (-8,-5)

step-by-step explanation:

the endpoint to midpoint is half the length. the length is (-2,-1) so when you are at the midpoint just add it to it to find your answer -6+(-2)= -8 and -4+(-1)=-5 so (-8,-5)

change of stock price/initial stock price on friday * total stock value = change of stock value

0.89/73.73 *x = 42.72

x=3539.04 = total stock value at initial stock price on friday .

total stock value at initial stock price on friday/ initial stock price on friday = number of shares

3539.04/73.73 = 48 shares

they own 48 shares of this stock