Question

Find the remainder when f(x) is divided by (x - k)

f(x) = 3x3 - 4x2 - 3x + 14; k= 3

A. 50

B. 68

C. -12

D. 112

Answer 1

you can simply find

f(3) and that will give the remainder.

the process is using the remainder theorem.

Answer 2

I dont know what the remained theorem is..

Answer 3

ok but you can find f(3) can't you..?

Answer 4

how would i do that?

Answer 5

the answer will be the remainder...

Answer 6

just like this

\[f(3) = 3\times(3)^3 - 4 \times (3)^2 - 3 \times (3) + 14\]

Answer 7

the answer will be the remainder...

Answer 8

ohh so just replacing the xs for 3's

Answer 9

thats it... then evaluating

Answer 10

i got 2 ?

Answer 11

maybe you want to check that... my answer is one of the choices

Answer 12

\[f(3) = 3 \times 27 - 4 \times 9 - 3 \times 3 + 14\]

Answer 13

hold on
yeah nvm

Answer 14

i got 50? answer A

Answer 15

that correct... well done

Answer 16

thank you again.. by anychance do u no how to do this..

Use synthetic division to determine whether the number k is an upper or lower bound (as specified) for the real zeros of the function f.

k = -1; f(x) = 4x3 - 2x2 + 2x + 4; Lower bound?

Yes
No

Answer 17

i got yes but im not sure?

Answer 18

if you dnt no its ok.. :)

Answer 19

I've not done synthetic division...

Answer 20

oh ok thnku nyways

Answer 21

for anyone needing the answer to this: it's 50 :)