Mrs. Allard asked her students to identify which of the polynomials below are in standard form and explain why.

1. 15x4 - 6x + 3x2 - 1

II. 12x3 + 8x + 4

III. 285 + 8x2 + 10%

Which student's response is correct?

Only II. is written in standard form

Step-by-step explanation:

The three polynomials given are:

I.

II.

III.

A polynomial is said to be in standard form when the variables are written in terms of descending powers i.e. the term with the highest power first, followed by the next and so on.

Examining the three polynomials I, II and III, there is only one which follows this rule and that is:

II.

The term with the highest power (3) came first, followed by the term with the next degree of power (1) and the last term with degree of power as 0.

Hence, only II. is written in standard form.

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