Question

After arranging the terms in descending powers of a variable, select the opposite of the polynomial. 9 - 12n 2 4n 3 - 7n 4n3 - 12n2 - 7n 9 -4n3 12n2 7n - 9 4n3 12n2 7n 9 -4n3 - 12n2 7n - 9.

Answer 1

The terms in descending powers of a variable are $\rm 4n^3 - 12n^2 - 7n + 9$.

Given that

Polynomial; $\rm 9 - 12n ^2 + 4n^ 3 - 7n$

We have to determine

After arranging the terms in descending powers of a variable, select the opposite of the polynomial.

According to the question

A polynomial is an expression consisting of coefficients and variables which are also known as indeterminates.

Degree of a Polynomial

The degree of a polynomial can be defined as the highest degree of a monomial within a polynomial.

The degree of the polynomial can be defined as a polynomial equation having a single variable that has the greatest exponent.

Therefore

The terms in descending powers of a variable are;

$\rm = 9 - 12n ^2+ 4n ^3 - 7n\\ \\ = 4n^3 - 12n^2 - 7n + 9$

Hence, The terms in descending powers of a variable are $\rm 4n^3 - 12n^2 - 7n + 9$.

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