The function f(x) = x3 – 8x2 + x + 42 has zeros located at 7, –2, 3. Verify the zeros of f(x) and explain how you verified them. Describe the end behavior of the function.

Step-by-step explanation:

At first you need to turn roots into factors and then multiply the

then you have

f(x) = a(x + 2)(x -5)^2

f(x) = a(x + 2)(x^2 - 10x + 25)

f(x) = a(x^3 - 8x^2 + 5x + 50)

You can use either synthetical or the factor

theorem

f(-2) = a(-8 - 8(4) + 5(-2) + 50) = a(0) = 0.. check, f

=-2

€(5) = a(125 - 8(25) + 5(5) + 50) = a(0) = 0 check, f

= 5 works

Then divide it to the the second multi

And you should get x^2 - 3x - 10 = (x - 5)(x + 2),

where the other two zeros are X =5 , and x=-2

47

step-by-step explanation:

d. millimeters per hour.

step-by-step explanation:

we are given that,

carlo used a rain gauge to measure the amount of water his lawn is receiving from the sprinklers.

since, according to the options, we see that,

water cannot be measured by 'miles per hour', 'meters per second' and 'grams per seconds'.

we get that, the water can be measured by 'millimeters per hour'.

hence, the appropriate rate for describing the amount of water is 'millimeters per hour'.