Question

Students were asked to write 6x^5 + 8x-3x^3+7x^7 in standard form

Answer 1

The standard form is $7x^7 + 6x^5 -3x^3 + 8x$

Solution:

Given that we have to write the given equation in standard form,

$6x^5 + 8x - 3x^3 + 7x^7$

In order to write any polynomial in standard form, you look at the degree of each term. You then write each term in order of degree, from highest to lowest, left to write

The terms are ordered from biggest exponent to lowest exponent

In the given equation,

$6x^5 + 8x - 3x^3 + 7x^7$

7 is the highest exponent. So we write the standard form as,

$7x^7 + 6x^5 -3x^3 + 8x$

Thus the terms are arranged from highest exponent to lowest exponent