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Question

Which of the following is/are in standard form of an algebraic expression?

A
15x2+x3+9x
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B
9x2+6x+15
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C
7x3+3x2y+6xy+9x
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D
6x3+x4+5x2
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Solution

The correct options are
B 9x2+6x+15
C 7x3+3x2y+6xy+9x
In an expression, if the terms are arranged in a manner such that the degrees of the terms are in descending order then the expression is said to be in standard form.
In 15x2+x3+9x and 6x3+x4+5x2 the degrees of the terms are not in descending order, so they are not in standard form.
While 9x2+6x+15 and 7x3+3x2y+6xy+9x, degrees of the terms are in descending order.Hence, they are in standard form.

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