Question

Deci: 2f-g=x(la puterea 3)+2x(la puterea 2)
f+g=-3x(la puterea 3)+x(la puterea2
Determinati polinoamele f,g...

Answer 1

$2f-g=x^3+2x^2$
$f+g=-3x^3+x^2$

adunam cele doua relatii si obtinem 

$3f=-2x^3+3x^2$

$f=(-2x^3+3x^2) : 3$

$f=- \frac{2}{3}x^3+x^2$

$(- \frac{2}{3}x^3+x^2)+g=-3x^3+x^2$

$g=-3x^3+x^2-(- \frac{2}{3}x^3+x^2)$

$g=-3x^3+x^2+ \frac{2}{3}x^3-x^2$

$g=- \frac{7}{3}x^3$