Polynomials

Divident = (Divisor) (Quotient) + Remainder

 2x³ + x² + x +1 = (Require polynomial)(-2x/3 + 1) + (4x +1) 

(Require polynomial)(-2x/3 + 1) = 2x³ + x² + x +1 - (4x +1)

(Require polynomial)(-2x/3 + 1) = 2x³ + x² -3 x 

(Require polynomial) = (2x³ + x² -3 x)/(-2x/3 + 1)

(Require polynomial) = (6x³ + 3x² -9 x)/(-2x + 3)

Regards,

Team,

TopperLearning.