How do you use polynomial synthetic division to divide (x^4-6x^2+9)div(x-sqrt3) and write the polynomial in the form p(x)=d(x)q(x)+r(x)?
2 Answers
Explanation:
So:
\0/ Here's our answer !
( and we can notice that
Explanation:
Using synthetic division :
We have ,
We take ,coefficients of
sqrt3| 1color(white)(.......)0color(white)(......)-6color(white)(........)0color(white)(........)9
ulcolor(white)(....)| ul(0color(white)( ....)sqrt3color(white)(........)3color(white)(...)-3sqrt3color(white)(...)-9
color(white)(......)1color(white)(......)sqrt3color(white)(....)-3color(white)(..)-3sqrt3color(white)(....)color(violet)(ul|0|
We can see that , quotient polynomial :
Hence ,