How do you divide 3x3+6x213x5x+1?

1 Answer
Feb 21, 2018

3x2+9x22+17x+1

Explanation:

one way is to use the divisor as a factor in the numerator

consider the numerator

3x2(x+1)+3x2+6x213x5

=3x2(x+1)+9x(x+1)9x13x5

=3x2(x+1)+9x(x+1)22(x+1)+225

=3x2(x+1)+9x(x+1)22(x+1)+17

quotient =3x2+9x22, remainder =17

3x3+6x213x5x+1

=3x2+9x22+17x+1