Question

can someone help me with this?
Evaluate D(x) = 4x^10 + 6x^8-8x^7-2x^5-2x^4-7x^2+5 for x+ -1. How do I start?

Answer 1

are you sure there isnt a typo, perhaps you meant evaluat for x=-1

Answer 2

I typed the problem like it is on my packet. However, I do know the answer is supposed to be 16. Does that help?

Answer 3

is the answe is 16 then the question read evluate the function at x=-1

Answer 4

is that x=-1 ?
if the exponent is even it becomes positive 1
if odd becomes negative 1, so just switch the sign of coefficient

Answer 5

recall that
\[(-1)^n=1\] if n is even and
\[(-1)^n=-1\] if n is odd. then you will have an easier time of it

Answer 6

This is how it should look, then just evluate this:
d(-1) = 4(-1)^10 + 6(-1)^8 - 8(-1)^7 - 2(-1)^5 - 2(-1)^4 - 7(-1)^2 + 5

Answer 7

sorry. typo. yes, it's x= -1

Answer 8

thank you!!!! got it!!