Sovi.AI - AI Math Tutor

Scan to solve math questions

QUESTION IMAGE

to write a polynomial in standard form, arrange the terms in order.

Question

to write a polynomial in standard form, arrange the terms in order.

Explanation:

Define standard form of a polynomial

Using the Standard Form of Polynomials knowledge point

$$ P(x) = a_n x^n + a_{n-1} x^{n-1} + \dots + a_1 x + a_0,\quad n > n-1 > \dots > 1 > 0 $$

Determine the required order of terms

Using the Standard Form of Polynomials knowledge point

$$ \text{Order of degrees: } n \to n-1 \to \dots \to 1 \to 0 \quad (\text{descending}) $$

Answer:

To write a polynomial in standard form, arrange the terms in <blank>descending</blank> order.