() one factor of the function f(x) = x3 − 8x2 + 17x − 10 is (x − 5). describe how to find the x-intercepts and the y-intercept of the graph of f(x) without using technology. include all intercepts in your answer.

x- intercept of f(x) = 1,2 and 5 and y- intercept of f(x)=-10.

Step-by-step explanation:

We are given that the function

The one factor of the given function is

Now, we divide the function by its given factor  by division method

Then we get

Now , by factorizing we get other two factors of given function

Substitute each factor equal to zero to find the value of x- intercept

x-1=0 then we get

x=1

x-2=0 then we get

x=2

x-5=0 then we get

x=5

Now, substitute the value of x=0 in given function then we get y- intercept of f(x)

y=0-0+0-10=-10

x- intercept of f(x)= 1,2 and 5 and y- intercept of f(x)=-10.

$53.50

step-by-step explanation:

you have to subtract the amount of money chuck earned ($72.50) by the cost of the gas for the mower ($11.25) and the new string for the trimmer he bought ($7.75).

72.50-11.25=61.25

and then subtract $61.25 by the second thing he bought (the new string for the trimmer)

61.25-7.75=53.5

so in total it's $53.50 (53 dollars and 50 cents)