Write the polynomial $- 2 x - 6 x ^ { 4 } + 4 x ^ { 2 } + 7$ in standard form. Find the leading coefficient of the polynomial.
A) $7 + 4 x ^ { 2 } - 2 x - 6 x ^ { 4 }$ leading coefficient: 2
B) $- 6 x ^ { 4 } + 4 x ^ { 2 } - 2 x + 7$ leading coefficient: 7
C) $7 + 4 x ^ { 2 } - 2 x - 6 x ^ { 4 }$ leading coefficient: 7
D) $- 6 x ^ { 4 } + 4 x ^ { 2 } - 2 x + 7$ leading coefficient: 6
E) $- 6 x ^ { 4 } + 4 x ^ { 2 } - 2 x + 7$ leading coefficient: 2

Question

Quizplus · Accepted Answer

The standard form of a polynomial is written with the terms in descending order of their degree. The leading coefficient is the coefficient of the term with the highest degree. For the given polynomial, the correct standard form is $- 6 x ^ { 4 } + 4 x ^ { 2 } - 2 x + 7$, making the leading coefficient -6.

Write the Polynomial −2x−6x4+4x2+7- 2 x - 6 x ^ { 4 } + 4 x ^ { 2 } + 7−2x−6x4+4x2+7

Write the Polynomial $- 2 x - 6 x ^ { 4 } + 4 x ^ { 2 } + 7$