Identify the expression that are in standard form?

9 x^{3} + 6 x^{2} + 17 x y + 5

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6 x^{4} + 2 x^{2} + 3 x y + 5 x + 6 x^{3}

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2 + 9 x - x^{2}

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9 x^{3} + 45 x + 3

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Solution

The correct options are
A $9 x^{3} + 6 x^{2} + 17 x y + 5$
D $9 x^{3} + 45 x + 3$
If the terms are arranged in such a way that the degrees of the terms are in descending order then the expression is said to be in standard form.

In the expressions $9 x^{3} + 6 x^{2} + 17 x y + 5$ and $9 x^{3} + 45 x + 3$ , the degrees of the terms are in descending order.
Hence, these expressions are in standard form.

In the expressions $6 x^{4} + 2 x^{2} + 3 x y + 5 x + 6 x^{3}$ and $2 + 9 x - x^{2}$ , the degrees of the terms are not in descending order. Hence, these expressions are not in standard form.

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Similar questions

When very small numbers are expressed in standard form, then the exponents are ______

\frac{1}{1000000}

express in standard form: 0.000000777

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