Question

-3x^3 -5x^2 -36 divided by x +3
please divide usug any mean and give only answer

Answer 1

-3x^2 + 4x - 12

Answer 2

-3x^3 -5x^2 -36 divided by x +3 = [x +3][Ax^2 + Bx +C ]
= [x +3][Ax^3 + Bx^2 +Cx +3Ax^2 +3Bx +3C ]
[equate coefficients]
-3x^3 -5x^2 -36 =[Ax^3 + Bx^2 +Cx +3Ax^2 +3Bx +3C ]

By inspection A = -3

-5 = 3A +B = -9 +B so B= 4

0[no single power of x in LHS] = 3B + C = 12+C so C = -12

-36 = 3C
[proven]

Answer = [-3x^2 + 4x -12 ]