Use synthetic division to find (6x^2 - 29x + 20) ÷ (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. ______

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Use synthetic division to find (6x^2 - 29x + 20) ÷ (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. ______

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Set up synthetic division: Set up synthetic division with 4 as the root from (x - 4) and the coefficients of the polynomial 6x^2 - 29x + 20, which are 6, -29, and 20.Perform synthetic division: Perform synthetic division: 4 | 6  -29  20    |    24  -20    ----------------      6   -5   0 The numbers on the bottom row are the coefficients of the quotient polynomial and the remainder.Write quotient polynomial: Write the quotient polynomial using the coefficients from the bottom row of the synthetic division. Since we started with a quadratic polynomial and divided by a linear polynomial, the quotient will be linear: q(x) = 6x - 5.Remainder is 0: The remainder is 0, as seen in the last number on the bottom row of the synthetic division.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 there is no remainder term: 6x - 5 + 0/(x - 4).

Use synthetic division to find $(6x^2 - 29x + 20) \div (x - 4)$ . $\newline$ 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. $\newline$ _________

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