Question

What is the leading term, leading coefficient, and degree of this polynomial `-2x - 3x^2 - 4x^4 + 3x^6 + 7`?

Answer 1

Leading term: `3x^6`
Leading coefficient: `3`
Degree of polynomial: `6`

Explanation:

`-2x-3x^2-4x^4+3x^6+7`

Rearrange the terms in descending order of powers (exponents).

`3x^6-4x^4-3x^2-2x+7`

The leading term (first term) is `3x^6` and the leading coefficient is `3`, which is the coefficient of the leading term. The degree of this polynomial is `6` because the highest power (exponent) is `6`.