Question

rewrite the following polynomial in standard form.
-1 + 10x³ + x²

Explanation:

Step1: Recall standard form of polynomial

The standard form of a polynomial is written in descending order of the exponents of the variable. For a polynomial in \(x\), the standard form is \(a_nx^n + a_{n - 1}x^{n - 1}+\cdots+a_1x + a_0\), where \(a_n
eq0\) and \(n\) is a non - negative integer.

Step2: Rearrange the given polynomial

Given the polynomial \(-1 + 10x^{3}+x^{2}\), we need to arrange the terms in descending order of the exponents of \(x\).
The term with the highest exponent of \(x\) is \(10x^{3}\) (exponent = 3), then the term with exponent 2 is \(x^{2}\), and then the constant term \(- 1\) (which can be thought of as \(-1x^{0}\) with exponent 0).
So, rearranging the terms, we get \(10x^{3}+x^{2}-1\).

Answer:

\(10x^{3}+x^{2}-1\)