How do you divide 3x3+16x224x+9x+1?

2 Answers
Nov 19, 2017

3x3+16x224x+9 is not divisible by x+1

Explanation:

If we descompose 3x3+16x224x+9 we obtain:
(x3)(3x2+7x+3) which is not divisible by x+1.

Nov 19, 2017

3x2+19x43+52x+1

Explanation:

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

consider the numerator

3x2(x+1)+3x2+16x224x+9

=3x2(x+1)+19x(x+1)19x24x+9

=3x2(x+1)+19x(x+1)43(x+1)+43+9

=3x2(x+1)+19x(x+1)43(x+1)+52

quotient =3x2+19x43, remainder =52

3x3+16x224x+9x+1

=3x2+19x43+52x+1