Divide by using synthetic division:

Question

Quizplus · Accepted Answer

The divisor is given as 11 in hexadecimal, which converts to 17 in decimal. Therefore, we need to divide by x-17 using synthetic division. 
The coefficients of the polynomial are: 
1, 1, -441, 89, -75, 17, -1, 0, 0, 0, 0, 0, 1, 1
Using synthetic division with 17 as the divisor, we get: 
1 | 1   1   -441   89   -75   17   -1   0   0   0   0   0   1   1 
---|---   1    18  -423   226   151 -241 241 -241  241 -241 241 -240 -239
   | 1   2   -423  -334  151   168 -409 241 -241  241 -241 482 242 
Therefore, the quotient is: x^12 + 2x^11 - 423x^10 - 334x^9 + 151x^8 + 168x^7 - 409x^6 + 241x^5 - 241x^4 + 241x^3 - 241x^2 + 482x - 239
The remainder is 242. The correct answer choice is C, which shows the quotient as 11eb69da_9ecc_0647_af94_c5d29c98bc16_TB8311_11.

Divide by Using Synthetic Division