Question

Which represents the polynomial below written in standard form?

Answer 1

`4x^3+(x^2)/(2) -3x+6`

Explanation:

A polynomial is in standard form when the exponents of variable is in decreasing order . for example
`y=ax^2+bx+c`

Order of exponent in standard from is from highest to lowest

Option A have x^3 at the end, So the polynomial is not in standard form

Option B have exponents x^3, x^2, x and constant. Exponents are from highest to lowest. So it is a polynomial in standard form

`(x^2)/(2) -3x+4x^3+6`

To write the given expression in standard form , highest exponent x^3 should come first

Standard form is

`4x^3+(x^2)/(2) -3x+6`

Answer 2

4x^3 + 1/2 x^2 -3x+6 Choice B

Explanation:

standard form is from largest exponent to smallest exponent