Use synthetic division to find (x^2 - 18x + 17) ÷ (x - 1). Write your answer in the form q(x) + r/d(x), where q(x) is a polynomial, r is an integer, and d(x) is a linear polynomial. Simplify any fractions. ______

Question

Use synthetic division to find (x^2 - 18x + 17) ÷ (x - 1).  Write your answer in the form q(x) + r/d(x), where q(x) is a polynomial, r is an integer, and d(x) is a linear polynomial. Simplify any fractions. ______

Bytelearn · Accepted Answer

Set up synthetic division: Set up synthetic division with 1 as the zero from (x - 1) and the coefficients of the polynomial x^2 - 18x + 17 as 1, -18, and 17.Bring down leading coefficient: Bring down the leading coefficient (1) to the bottom row.Multiply zero by number: Multiply the zero (1) by the number just brought down (1) and write the result (1) under the next coefficient (-18).Add numbers in second column: Add the numbers in the second column (-18 + 1 = -17) and write the result (-17) in the bottom row.Multiply zero by new number: Multiply the zero (1) by the new number in the bottom row (-17) and write the result (-17) under the next coefficient (17).Add numbers in third column: Add the numbers in the third column (17 + (-17) = 0) and write the result (0) in the bottom row.Identify quotient polynomial: The numbers in the bottom row are the coefficients of the quotient polynomial q(x), and the last number is the remainder r. So, q(x) = x - 17 and r = 0.Write final answer: Write the final answer in the form q(x) + r/d(x). Since the remainder is 0, the division is exact and the result is just q(x).

Use synthetic division to find $(x^2 - 18x + 17) \div (x - 1)$ . $\newline$ Write your answer in the form $q(x) + \frac{r}{d(x)}$ , where $q(x)$ is a polynomial, $r$ is an integer, and $d(x)$ is a linear polynomial. Simplify any fractions. $\newline$ _________

Full solution

More problems from Divide polynomials using synthetic division

Related topics