Use synthetic division to find the quotient and remainder when $9 x^{6} - 5 x^{4} + 5 x^{2} + 6$ is divided by $x - 2$ .
The quotient is The remainder is

Answer

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Answer

The quotient is $9 x^{5} + 18 x^{4} + 31 x^{3} + 62 x^{2} + 129 x + 258$ and the remainder is $522$ .

Steps

Step 1 ：First, we set up the synthetic division with $2$ as the divisor and the coefficients of $9 x^{6} - 5 x^{4} + 5 x^{2} + 6$ as the dividend.

Step 2 ： $\begin{array}{rrrrrrrr} \multicolumn 1 r | 2 & 9 & 0 & - 5 & 0 & 5 & 0 & 6 \\ \multicolumn 1 r | & 18 & 36 & 62 & 124 & 258 & 516 \\ \cline 2 - 8 & 9 & 18 & 31 & 62 & 129 & 258 & \multicolumn 1 | r 522 \end{array}$

Step 3 ：Thus, we find that $9 x^{6} - 5 x^{4} + 5 x^{2} + 6 = (x - 2) (9 x^{5} + 18 x^{4} + 31 x^{3} + 62 x^{2} + 129 x + 258) + 522$ .

Step 4 ：The quotient is $9 x^{5} + 18 x^{4} + 31 x^{3} + 62 x^{2} + 129 x + 258$ and the remainder is $522$ .

Use synthetic division to find the quotient and remainder when 9x6−5x4+5x2+6 is divided by x−2.The quotient is The remainder is

Answer

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Use synthetic division to find the quotient and remainder when $9 x^{6} - 5 x^{4} + 5 x^{2} + 6$ is divided by $x - 2$ .
The quotient is The remainder is