Question
Using synthetic division , solve and select the remainder. (x^3-x^2-5x+1)div (x+1) A 0 B -5 C 4 (C) 4 D -2
Solution
4.4
(226 Votos)
Diana
Elite · Tutor por 8 anos
Resposta
To solve the problem using synthetic division, we need to divide the polynomial
by
. In synthetic division, we use the root of the divisor, which is
in this case (since
gives
).Here are the steps for synthetic division:1. Write down the coefficients of the dividend:
.2. Use
as the divisor.3. Bring down the leading coefficient (1) to the bottom row.4. Multiply
by the number just written on the bottom row and write the result under the next coefficient.5. Add the numbers in the second column and write the result in the bottom row.6. Repeat the process for each column.Let's perform the synthetic division:
The bottom row represents the coefficients of the quotient polynomial, and the last number is the remainder. Therefore, the remainder is 4.Thus, the correct answer is: