Question

Write the polynomial 3x^2 − 8x − 12x^5 − 5x^3 + 2x^4 − 6 in standard form. Then give the leading coefficient.

Answer 1

Answer: −12x^5 + 2x^4 − 5x^3 + 3x^2 − 8x − 6

The leading coefficient is −12.

Explanation:

Answer 2

Answer: Our standard form is

`-12x^5+2x^4-5x^3+3x^2-8x-6`

Explanation:

Since we have given that

`3x^2-8x-12x^5-5x^3+2x^4-6`

We need to write in Standard form giving the leading coefficient:

So, In standard form, degrees must be in decreasing order.

Therefore, it becomes,

`-12x^5+2x^4-5x^3+3x^2-8x-6`

Hence, our standard form is

`-12x^5+2x^4-5x^3+3x^2-8x-6`