Question

directions: write each polynomial in standard form

1. $-14 + 9x$
2. $7w^2 + 25 - 2w$

Explanation:

Problem 1: $-14 + 9x$

Step1: Recall standard form of a polynomial

The standard form of a polynomial is to write the terms in descending order of their degrees. For a linear polynomial (degree 1), the form is $ax + b$ where $a
eq0$.
Here, we have $-14 + 9x$. We re - arrange the terms to follow the standard form.
The term with degree 1 ($9x$) comes first, then the constant term ($- 14$).
So, the standard form is $9x-14$.

Problem 2: $7w^{2}+25 - 2w$

Step1: Recall standard form of a polynomial

The standard form of a polynomial is to write the terms in descending order of their degrees. For a quadratic polynomial (degree 2), the form is $aw^{2}+bw + c$ where $a
eq0$.
Here, we have the polynomial $7w^{2}+25 - 2w$. The term with degree 2 is $7w^{2}$, the term with degree 1 is $-2w$ (we rewrite $-2w$ from $+(-2w)$), and the constant term is $25$.
We re - arrange the terms in descending order of degrees: $7w^{2}-2w + 25$.

Answer:

s:

1. $9x - 14$
2. $7w^{2}-2w + 25$