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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

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

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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: