Write a possible equation for a polynomial whose graph has the following horizonal intercepts. Show your work.
A. (4,0)
B. (0,0) and ( 4,0)
C. (-2,0), (0,0),and (4,0)
D. (-5,0), (1/2,0), and (3,0)

A) x - 4

B) x² - 4x

C) x³ - 2x² - 8x

D) 2x³ + 3x² - 32x + 15

Step-by-step explanation:

A)

x-intercepts: x = 4

Factors:

(x - 4)

B)

x-intercepts: x = 4, 0

Factor:

(x - 0)(x - 4)

x² - 4x

C)

x-intercepts: x = 4, 0, -2

Factor:

(x - 0)(x - 4)(x + 2)

(x² - 4x)(x + 2)

x³ - 4x² + 2x² - 8x

x³ - 2x² - 8x

D)

x-intercepts: x = 3, ½, -5

Factor:

(x - 3)(2x - 1)(x + 5)

(2x² - 6x - x + 3)(x + 5)

(2x² - 7x + 3)(x + 5)

2x³ - 7x² + 3x + 10x² - 35x + 15

2x³ + 3x² - 32x + 15

the answer is 1030 it's very simple math.

55.44 inches

step-by-step explanation:

part a. assuming a perfectly linear relationship, we can find the slope from the first two data points.

slope = m = (change in rainfall)/(change in years)

= (61.80 -62.33)/(2005 -2004) = -0.53/1 = -0.53

then the point-slope form of the equation of the line can be written as

y = m(x -h) +k . . . . . m = -0.53, (h, k) = (0, 62.33)

y = -0.53x +62.33 . . . x = years after 2004

part b. in 2017, x = 2017 -2004 = 13. then the predicted rainfall is

y = -0.53·13 +62.33 = 55.44 . . inches

the predicted rainfall in 2017 is 55.44 in.