Question

Which of the following is the index form of the polynomial $p\left(x\right)=2x-7x^2+8+6x^4$ ?

• A. $p\left(x\right)=6x^4+2x-7x^2+0x^3+8$
• B. $p\left(x\right)=0x^3-7x^2+2x+86x^4$
• C. $p\left(x\right)=2x+6x^4-7x^2+8+0x^3$
• D. $p\left(x\right)=6x^4+0x^3-7x^2+2x+8$

Answer 1

The correct option is D $p\left(x\right)=6x^4+0x^3-7x^2+2x+8$

If we write the given polynomial in descending powers of its variable, we get it's standard form.

So, the standard form of $p\left(x\right)=2x-7x^2+8+6x^4$ is
$p\left(x\right)=6x^4-7x^2+2x+8$.

In the standard form, there is no term having power 3 of the variable. We can write it as $0x^3$.

So, we can add this to standard form . we get :

$p\left(x\right)=6x^4+0x^3-7x^2+2x+8$.

This is called as index form