() 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.

5x+40

5(x + 8)

7x - 49

7(x - 7)

18x + 9

9(2x + 1)

15x - 10

5(3x - 2)

step-by-step explanation:

for number one all you have to do is factor 5 out of 5x + 40

for number 2 factor 7 out of 7x - 49

for number three factor 9 out of 18x + 9

for number four factor 5 out of 15x - 10

cosine

step-by-step explanation: