Question

Pls help me solve for all real values of x only..

3x^4 + 3x^3 - 21x^2 - 3x + 18 = 0

Answer 1

manual way: change of variable, reduce poly
auto: wolfram, solve for x

Answer 2

thanks..

Answer 3

synthetic division also works

Answer 4

thanks again

Answer 5

4th power means you are looking for 4 solutions

Answer 6

yeap, syntheic rules, is like factoring polys

Answer 7

yup. thanks, guys! :)

Answer 8

The synthetic division method factors it fast.

Answer 9

\[0=3x^4 + 3x^3 - 21x^2 - 3x + 18=(x-1)(x-2)(x+3)(x+9)\]

Answer 10

So we end up with solutions of \[x \in \left\{ -9,-3,1,2 \right\}\]

Answer 11

thank you! :D