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# what is the degree of 'f'

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57
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+266

what is the f

critical  Sep 28, 2018
#1
+2319
+1

I'm not sure how you are supposed to figure this out but

$$f(x) = x^4 - 2x^2 \\ \text{and is of degree 4}$$

Rom  Sep 28, 2018
#2
+93604
+2

See if you can can work out what I have done.

See how in the 4th lot of subtracions the answer is the same each time.

That means it is a polynomial of degree 4.

 x F(x) (1) (2) (3) (4) -3 63 -2 8 8-63=-55 -1 -1 -1-8=-9 -9--55=46 0 0 0--1=1 1--9=10 10-46=-36 1 -1 -1-0=-1 -1-1=-2 -2-10=-12 -12--36=24 2 8 8--1=9 9--1=10 10--2=12 12--12=24 3 63 63-8=55 55-9=46 46-10=36 36-12=24
Melody  Sep 28, 2018