Question

Which represents the polynomial below written in standard form?

Answer 1

Answer:

4x^3 + 1/2 x^2 -3x+6   Choice B

Step-by-step explanation:

standard form is from largest exponent to smallest exponent

Answer 2

Answer:

$4x^3+\frac{x^2}{2} -3x+6$

Step-by-step 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

$\frac{x^2}{2} -3x+4x^3+6$

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

Standard form is

$4x^3+\frac{x^2}{2} -3x+6$