Question

Help with factor theorem

Answer 1

what do u think ?

Answer 2

http://prntscr.com/4rtx1u

Answer 3

f(2)=0
and
f(-1)=0
thus
(x-2) and (x+1) are factors right ? ( from factor theorm )

Answer 4

well Im just confused how to start it. I know how synthetic division works just not factor theorem

Answer 5

Yes

Answer 6

then i assume you have to factor f(x)?

Answer 7

yep , u have now too factors right ?

Answer 8

two*

Answer 9

Yes

Answer 10

(x-2),(x+1) then would it be x^2 for the first part

Answer 11

ok so u could do the rest ? or u dint understand factor theorem ?

Answer 12

Like.im confused with the x-c

Answer 13

if u have a function f(x)
and c is any number , then
if f(c)=0 , then remainder of f(x)/x-c is zero right ?
thus x-c is a factor

Answer 14

so for example in this c is -1?

Answer 15

yes in the example there is two value for c , c=-1 and c=2

any way since we have two factors x-2 and x+1
so 2 options we have B or D
but as u can see , D is not completely factored thus the answer is B

Answer 16

well could you go with me through how to factor f(x) :/

Answer 17

well i have to go now :(
but u showed use factor theorem , here it is
http://prntscr.com/4rtx1u


maybe @praxer wanna continue this

Answer 18

ill be right back