The given algebraic expression of its exponent in descending order is
$x - x^{8} + x^{2} - 1.7 x^{10} + 1.4 x^{8} - 7.8 x^{2} + 4 - 9 x$ .

4 - 8 x - 6.8 x^{2} + {0.4}^{8} - 1.7 x^{10}

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- 1.7 x^{7} + 0.4 x^{5} + 6.8 x^{3} - 8 x + 4

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4 - 6.8 x - 8 x^{2} + 0.4 x^{8} - 1.7 x^{10}

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- 1.7 x^{10} + 0.4 x^{8} - 6.8 x^{2} - 8 x + 4

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Solution

The correct option is D $- 1.7 x^{10} + 0.4 x^{8} - 6.8 x^{2} - 8 x + 4$
Given expression is $x - x^{8} + x^{2} - 1.7 x^{10} + 1.4 x^{8} - 7.8 x^{2} + 4 - 9 x$
Simplifying the above expression, we get
$- 1.7 x^{10} + 0.4 x^{8} - 6.8 x^{2} + 4 - 8 x$
Now arranging above expression with powers of $x$ in descending order
Highest power $= 10$ followed by $8, 2, 1, 0$ .
$- 1.7 x^{10} + 0.4 x^{8} - 6.8 x^{2} - 8 x + 4$

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The given algebraic expression of its exponent in descending order isx−x8+x2−1.7x10+1.4x8−7.8x2+4−9x.

The given algebraic expression of its exponent in descending order is
$x - x^{8} + x^{2} - 1.7 x^{10} + 1.4 x^{8} - 7.8 x^{2} + 4 - 9 x$ .