Question

if (x-c) is a factor of 6x^3+3cx^2-c^2x-27, what is the value of c?

Answer 1

if x-c is a factor
then f(c)=0

Answer 2

so whatever you have there as a function replace all the x's with c's

Answer 3

and then set that expression equal to 0
and solve

Answer 4

thank you! myininaya

Answer 5

np
you can show me what you did to get c
and i can let you know if it is good or find your error or whatever

Answer 6

i will be on for like a few more minutes

Answer 7

I'm not sure, this is what i got. cube root of 27/8?

Answer 8

yeah good
and 27=3^3 and 8=2^3

Answer 9

so you can simplify your answer

Answer 10

okay thanks!

Answer 11

i don't get how to simplify

Answer 12

\[\sqrt[3]{\frac{27}{8}}=\frac{\sqrt[3]{27}}{\sqrt[3]{8}}=\frac{\sqrt[3]{3^3}}{\sqrt[3]{2^3}}=\frac{3}{2}\]

Answer 13

cube root cancels out the cube

Answer 14

You're so smart! :)