Question

Which of the following is true about graphing polynomial functions?
B.] The real zeros that are found using synthetic division and the division algorithm are x.intercepts of the graph of the the polynomial function.

C.] The remainder theorem can be used to find the end behavior of the graph of a polynomial function.
D.] The factor theorem can be used to determine the shape of the graph of the polynomial function.

Answer 1

I think is D , definitely is not C ... anyone could help me out ,I can't fail is the last question !

Answer 2

@ganeshie8 @inkyvoyd @mathmale

Answer 3

@whpalmer4 @calculusxy ?

Answer 4

@SolomonZelman @narissa @sweetburger

Answer 5

Option B.) could make sense but what if there is not real zeros in the first place...

Answer 6

Wow. You put so much value on obtaining a "right" answer that others may be afraid to help you!

Have you rejected answer B? If so, why?

Answer 7

If i recall well the leading coefficient of the polynomial tell us the end behavior of it.. that's why I ruled out C

Answer 8

AND B...

Answer 9

I'm even not sure..

Answer 10

What does B state? Put this into your own words.

Answer 11

well it states that if I have found real zeros i got where the graph cuts the x-axies.. but what if there is not real zeros in the first place..

Answer 12

Why use long division or synthetic division at all, where graphing a polynomial is involved? Think.

Answer 13

i mean if there is only complex roots..

Answer 14

Remember that only real zeros would be on the x-axis. For the time being, forget about complex roots.

Answer 15

i think this is a tricky question..

Answer 16

Yes, of course.

I still want you to say whether you have accepted B or rejected B and why.

Answer 17

well ok let me see so that means that D could be not always true ?

Answer 18

@sshayer bro could you give a hand ?

Answer 19

so is it B orD ?

Answer 20

I thought it was D but right now .. I'd like to call a friend :V

Answer 21

i think B

Answer 22

OK you know what im going to take a risk

Answer 23

see google

Answer 24

Dude guess what...

Answer 25

yeah i know LOL

Answer 26

yahoo answers

Answer 27

thanks bro !

Answer 28

C) is not correct, as the remainder theorem just helps us evaluate the polynomial at some point.

D) the factor theorem is just a special case of the remainder theorem, so if C isn't correct, D won't be either

any real zeroes of the polynomial are values of \(x\) where \(f(x)=0\) which is also the definition of an x-intercept, therefore B is a true statement