() 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.

1. 3.4/4

2. 0.8/7

3. 0.5 x 3

4. 0.9 x 6

5. 10.8

6. 2.35

7. 0.567

8. 9.35

9. 0.02

10. 0.06

11. 0.16

12. 0.42

13. 0.63

14. 5.6

15. 8.1

16. 9.9

17. 0.28

18. 0.48

19. 0.27

20. 0.49

21. 0.45

22. 0.72

23. 0.9

24. 0.88

25. 0.75

26. 0.16

27. 0.328

28. 0.495

29. 0.72

30. 1.068