Question

Please help, no one in my online class can explain this to me...

Answer 1

f

Answer 2

^F is false lmao

Answer 3

you knw how to interpret synthetic division result ?

Answer 4

since, \(−6\) is on left side, you're dividing \((2x^2+9x−18)÷(x+6)\)

Answer 5

no :,(

Answer 6

okay, its easy... the division is shown in the given diagram

Answer 7

look at bottom row, you're seeing 0 in the end right ?

Answer 8

yes

Answer 9

if u get a 0 in the end, then that means -6 is a root

Answer 10

oh okay!

Answer 11

since -6 is a root, (x--6) = (x+6) will be a factor as well

Answer 12

would 6 also be a root cause its 0?

Answer 13

oh lol just saw what u posted

Answer 14

cool :) -6 is root,
6 is not a root ok

Answer 15

wait, yea just noticed that lol so the answers are: -6 is a root, and 6 and -6 are factors?

Answer 16

so far, first 3 options are answers,
lets check others as well

Answer 17

okay

Answer 18

u can strike off fourth option, cuz synthetic division oly says -6 is the root, we dont knw whether 6 will be root or not.

Answer 19

A is true

Answer 20

A, B, C are true
D is false

Answer 21

wat about E ?

Answer 22

yes because -6 is a factor?

Answer 23

f is false

Answer 24

-6 is a root.
its like this :-
if \(k\) is a root of a polynomial, then \((x-k)\) will be a factor

Answer 25

since \(-6\) is a root, \((x--6) = (x+6)\) will be a factor
so we cannot say much about option E. so strike it off false

Answer 26

oh I understand now!

Answer 27

thank you!

Answer 28

good, wat about option F ?

Answer 29

look at the bottom row again,
u have :-

2 -3 0

2x-3

Answer 30

i worked it out and It came out as 2/3

Answer 31

we dont need to work :) just interpret the result :-
2x-3 is in the bottom row : that means 2x-3 is the quotient/result of the division.
so F is true.

Answer 32

A, B, C and F are true.

Answer 33

ok thank you

Answer 34

np :) work 1-2 synthetic division problems... it wud make more sense good luck !