Question 1

Divide (3x⁴ -21x³+29x²-3x+28) ÷ (x−5)
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Question 2

Answer:

-12

Explanation:

(3x⁴ -21x³+29x²-3x+28) ÷ (x−5)

$\\ 3x⁴ -21x³+29x²-3x+28 \\ x - 5\overline{)3x⁴ -21x³+29x²-3x+28} \\3x {}^(4) - 15x {}^(3) \: \: \: \ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \\ \overline { - 6 {x}^(3 ) + 29 {x}^(2) - 3x + 28 } \\ - 6 {x}^(3 ) + 30 {x}^(2) \: \:\: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \\ \overline { - {x}^(2) - 3x + 28} \\ - {x}^(2) + 5x \: \: \: \: \: \: \: \: \: \\\overline { - \: \: \: 8x + 28} \\ \: \: \: \: \: 8x + 40 \\ - 12$

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