Perform the indicated division. A) 5 x ² + 4 x - 3 B) 5 x ² - 4 x - 3 C) 5 x ² - 4 x + 3 D) 5 x ² + 4 x + 3 E) 5 x - 3

Question

Quizplus · Accepted Answer

The given number is in hexadecimal form. To perform division, we follow the long division algorithm in hexadecimal. We divide the first two digits, which give us 5 with a remainder of 10 (represented as A in hexadecimal). The next two digits 1 and 1 give us 0 with a remainder of 1, which we bring down. We then divide 1A (representing 26 in decimal) by 11, which gives us 2 with a remainder of 4. We bring down the last two digits and get 74, which we divide by 11. This gives us 6 with a remainder of 8 (represented as 8 in hexadecimal). Therefore, the quotient is 5² and the remainder is -4 (represented as -4 in hexadecimal). Hence, the answer is option B, which gives us the quotient as 5² and the remainder as -4.

Perform the Indicated Division