Use synthetic division to find (9x^2 - 29x - 28) ÷ (x - 4). 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 (9x^2 - 29x - 28) ÷ (x - 4).  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 4 as the root from (x - 4) and the coefficients from 9x^2 - 29x - 28 which are 9, -29, and -28.Bring down first coefficient: Bring down the first coefficient, 9, to the bottom row.Multiply and write result: Multiply 4 by 9 and write the result, 36, under the second coefficient, -29.Add and write result: Add -29 and 36 to get 7. Write this number under the line in the second column.Multiply and write result: Multiply 4 by 7 and write the result, 28, under the third coefficient, -28.Add and write result: Add -28 and 28 to get 0. Write this number under the line in the third column. This is the remainder.Identify quotient polynomial: The numbers on the bottom row are the coefficients of the quotient polynomial q(x). So, q(x) = 9x + 7.Final answer without remainder: Since the remainder is 0, the final answer is just q(x) without any remainder term.

Use synthetic division to find $(9x^2 - 29x - 28) \div (x - 4)$ . $\newline$ 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