Question

When the terms of a polynomial in x are arranged from the highest to the lowestpowers of x, the polynomial is in descending order. Simplify the followingpolynomial in descending order then evaluate for n = -0.25.6-(2n+ n) -(5n+n? - 6)-(4n+2n? - 11)

Answer 1

We must simplify the polynomial first.

6 - (2n² + n) - (5n + n² - 6) - (4n + 2n² - 11) =

= 6 - 2n² - n - 5n - n² - 6 - 4n - 2n² + 11

Let's arranged from the highest to the lowest powers of n. We can write:

- 2n² - n² - 2n² - n - 5n - 4n + 6 - 6 + 11

Now we can add the therms:

- 5n² - 10n + 11

Let's evaluate for n = -0.25, we get:

- 5.(-0.25)² - 10.(-0.25) + 11 =

= -5.(0.0625) + 2.5 + 11 =

= -0.3125 + 2.5 + 11 =

= 2.1875 + 11 =

= 13.1875

Answer: the polynomial is - 5n² - 10n + 11 and its value for n = -0.25 equals 13.1875