Question

Students were asked to write 6x^5 + 8x - 3x^3 + 7x^7 in standard form. Shown below are four

student responses.
Anna: 7x^7+ 6x^5 - 3x^3 + 8x
Mario: -3x^3 + 6x^5 + 7x^7 + 8x
William: 8x + 7x^7+ 6x^5 - 3x^3
Olivia: 8x - 3x^3 + 6x^5 + 7x^7
Which student is correct?

Answer 1

Anna

Explanation:

In standard form the first term is the term with the largest exponent.

The following terms are then in descending order of exponents.

The term with the largest exponent is 7
`x^(7)` ← first term

The expression in standard form is

7
`x^(7)` + 6
`x^(5)` - 3x³ + 8x ← Anna