Question

9x3 +15x² – 5x+3 by 3x +1 ​

Answer 1

According to division algorithm 

Dividend = Divisor × Quotient + Remainder

$p(x)=g(x)×q(x)+r(x)</p><p></p><p>$

Putting the value in formula we get ,

$−x3+3x2−3x+5=(x−1−x2)×q(x)+3</p><p> \\ \\ ⇒−x3+3x2−3x+5−3=(x−1−x2)×q(x)</p><p> \\ \\ ⇒−x3+3x2−3x+2=(x−1−x2)×q(x)</p><p> \\ \\ ⇒(−x3+3x2−3x+2)=q(x)×(x−1−x2)</p><p></p><p>$

Dividing both sides by (x−1−x2), we

$So, q(x)=x−2$

Answer 2

you didn't tell what to do with question , I think u want to divide above polynomial . so , See it's solution below :-