Question

Choose the polynomial written in standard form.

a. x3y2 + 4x4y + 10x9
b. x4y2 + 4x4y5 + 10x2
c. xy2 + 4x3y8 + 10x2
d. x4y5 + 4x3y2 + 10x2

Answer 1

`x^4y^5 + 4x^3y^2 + 10x^2`

Explanation:

A polynomial is in standard form when the exponents of variable is from highest to lowest.

a.
`x^3y^2 + 4x^4y + 10x^9`

The exponent of x is not in order. So it is not in standard form

b.
`x^4y^2 + 4x^4y^5 + 10x^2` the exponent of y is increasing . It is not in standrad form.

c.
`xy^2 + 4x^3y^8 + 10x^2` the exponent are increasing and then decreasing so it is not in standard form.

d.
`x^4y^5 + 4x^3y^2 + 10x^2` the exponents of y are from highest to lowest so the given polynomial is in standard form

Answer 2

The problem wants to ask tho choose among the following choices that contains the equation in standard polynomial form and the best answer among them is letter D. x^4y^5+4x^3y^2+10x^2. I hope you are satisfied with my answer and feel free to ask for more