## pottersheep 3 years ago Grade 12 Advanced Functions help please! Use the degree and the sign of the leading coefficient to determine the value of the constant finite differences. f(x) = -4x^3 +2x^2 - x +5

1. pottersheep

How do I do that? I know the degree is 3, and the sign is negative... Thanks!

2. niravshah08

I don't know what constant finite diff. Is but i think it will be -2x. I got this by dividing the first term by the second term

3. pottersheep

no that's not the answer but thanks anyways

4. pottersheep

Does anyone else know?

5. hal_stirrup

using calculas .

6. hal_stirrup

is that ok?

7. CliffSedge

It can be done without calculus.

8. hal_stirrup

sure

9. hal_stirrup

You can make a long table of values

10. CliffSedge

I think a short-cut is to multiply the leading coefficient by twice the degree.

11. CliffSedge

It works for this example and another that I tried, but it might not work in all cases.

12. hal_stirrup

-4x3x2x1

13. hal_stirrup

Since the degree of the function is 3 . we look at -4x^3

14. hal_stirrup

the 3th diferences are constant.

15. pottersheep

Thanks ~ I haven't taken calculus yet so I just had to make really long tables for all of my questions. I got the right answers tho! :)

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