Question

the quotient and remainder for the polynomial P(x) = x2-3x3+5x-3

by the G(n)=x-2​

Answer 1

p ( x ) = x² – 3x³ + 5x – 3

= – 3x³ + x² + 5x – 3

________________

x – 2 _| – 3x³ + x² + 5x – 3 | –3x² – 3x – 1

– 3x³ – 2x²

_(+)__ (+)_______

+ 3x² + 5x – 3

+ 3x² + 6x

_(–)___(–)______

– x – 3

– x + 2

_(+)_(–)____

– 5

Ans Quotient is : –3x²–3x+ 1 and remainder is –5

Hope the solution is clear to you!!