Question

use synthetic division to divide the first polynomial by the second polynomial and find quotient and remainder x⁴-5x²-4x ; x+3​

Answer 1

mn........................

......

..

Answer 2

Answer:

The coefficient form of the dividend   x ⁴-5x²-4x   is   ( 1,0,5,4,0)      

The divisor is  x+3      .opposite of  +3  is  -3

-3   |   1     0     5      4        0  

    |         -3     9    -32      288

-  |---------------------------------------

  | 1        -3     14   - 9 6     288      remainder

The coefficient form of the quotient is  (1,-3,14,-96)

:.The quotient = $x^{3}-3x^{2} +14x-96$  and remainder is 288