Polynomial powers in descending order refer to the arrangement of the terms in a polynomial starting with the highest exponent and moving to the lowest. For example, in the polynomial (4x^3 + 2x^2 - x + 5), the powers are ordered as (3, 2, 1, 0). Each term consists of a coefficient multiplied by a variable raised to a specific power, and the descending order helps in understanding the polynomial's behavior and facilitates operations like addition and subtraction.
Factor the polynomial x2 - 10x + 25. Enter each factor as a polynomial in descending order.
A polynomial is written in descending order when its terms are arranged from the highest degree to the lowest degree. For example, (4x^3 + 2x^2 - x + 5) is in descending order. Conversely, a polynomial is in ascending order when its terms are organized from the lowest degree to the highest degree, such as (5 - x + 2x^2 + 4x^3). In both cases, the coefficients of each term remain associated with their respective powers of the variable.
(x-3)(x+8)
(x - 3)(x - 3)
Powers of their exponents
It is written in descending order.
Factor the polynomial x2 - 10x + 25. Enter each factor as a polynomial in descending order.
The polynomial IS written in descending order.
Each power should appear only once (for example, only one term which contains x cubed); the powers should be in descending order.
A polynomial is written in descending order when its terms are arranged from the highest degree to the lowest degree. For example, (4x^3 + 2x^2 - x + 5) is in descending order. Conversely, a polynomial is in ascending order when its terms are organized from the lowest degree to the highest degree, such as (5 - x + 2x^2 + 4x^3). In both cases, the coefficients of each term remain associated with their respective powers of the variable.
Terms
That one, there!
(x-3)(x+8)
(x - 3)(x - 3)
(x + 8)(x + 1)
(3x + 4)(3x + 4)