Question

rewrite the following polynomial in standard form. 10 - x - 7x²

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 quadratic polynomial (degree 2) in \(x\), the standard form is \(ax^{2}+bx + c\), where \(a\), \(b\), and \(c\) are constants and \(a
eq0\).

Step2: Rearrange the given polynomial

Given the polynomial \(10 - x - 7x^{2}\), we need to rearrange the terms so that the term with the highest power of \(x\) (which is \(x^{2}\) term) comes first, then the \(x\) term, and then the constant term.
The term with \(x^{2}\) is \(- 7x^{2}\), the term with \(x\) is \(-x\), and the constant term is \(10\).
So, rearranging the terms, we get \(-7x^{2}-x + 10\).

Answer:

\(-7x^{2}-x + 10\)