Two polynomials P and D are given. Use either synthetic or long division to divide

Question

P(x) by D(x),and express the quotient
P(x)/D(x) in the form P(x)D(x) = Q(x)+
R(x)D(x)
.
P(x) = 6x4 − 3x3 + 29x2, D(x) = 3x2 + 13

Answer 1

*************_2x^2___________-1x+1
(3x^2 + 13) / 6x^4-3x^3+29x^2+0x+0
**************6x^4_____+26x^2_____
*******************-3x^3+3x^2 +0x+0
*******************-3x^3______-13x
************************ +3x^2+13x+0
************************ +2x^2____+13
******************************+13x-13
so
2x^2-x+1 and (13x-13)/(3x^2+13)

Answer 2

P(x) = 6x4 − 3x3 + 29x2, D(x) = 3x2 + 13