$x^{4} + 9 x^{3} + 35 x^{2} - x + 4$ divided by $x^{2} + 10 x + 29$

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Solution

$∴ x^{4} + 9 x^{3} + 35 x^{2} - x + 4 = (x^{2} + 10 x + 29) (x^{2} - x + 16) + (188 x - 431)$

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x^{4} + 9 x^{3} + 35 x^{2} - x + 4

x = - 5 + \sqrt{- 4}

x = - 5 + \sqrt{- 4}

x^{4} + 9 x^{3} + 35 x^{2} - x + 4.

f (x) = x^{4} + 9 x^{3} + 35 x^{2} - x + 4

f (- 5 + 4 i)

x = - 5 + 2 \sqrt{- 4}

x^{4} + 9 x^{3} + 35 x^{2} - x + 4

If x=-5+ $\sqrt{- 4}$ , then the value of the expression $x^{4}$ +9 $x^{3}$ +35 $x^{2}$ -x+4 is

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