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

Sep 19, 2015

Leading term: $3 {x}^{6}$
Leading coefficient: $3$
Degree of polynomial: $6$

Explanation:

$- 2 x - 3 {x}^{2} - 4 {x}^{4} + 3 {x}^{6} + 7$

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

$3 {x}^{6} - 4 {x}^{4} - 3 {x}^{2} - 2 x + 7$

The leading term (first term) is $3 {x}^{6}$ 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 $6$.