Question

X^3+5x^2+mx+n/(x^2+x-6) possui resto zero

Answer 1

1x³ + 5 x² + mx + n

(x² + x -x 6) ( 1x + 6) + 0

x³ + 6x²
    + x² + 6x
           - 6x - 6b
__________________
x³ + (b+1) x² + ( b-6)x - 66

b+1=5
b=4

n=6-(4)
n= - 24

m= 4 - 6
m= - 2