Respuesta :

To write a quadratic function in standard form with integral coefficients and a double root of x, we can use the fact that a double root means that the quadratic function has one repeated root. This implies that the quadratic function can be written as (x - r)^2, where r is the repeated root. Expanding this expression will give us a quadratic function in standard form.

Let's demonstrate this with an example:

Given the double root of x = 2, the quadratic function would be:

y = (x - 2)^2

Expanding this expression:

y = (x - 2)(x - 2)

y = x^2 - 2x - 2x + 4

y = x^2 - 4x + 4

Therefore, the quadratic function in standard form with integral coefficients and a double root of x = 2 is:

y = x^2 - 4x + 4

I'll address the language exercise as you requested:

(a) the Sahara desert when it happened. I
(b) had a small radio,
(c) but it packed up after 10 days or so, and I just kept on going. Obviously, people began to worry when I didn't
(d) call this particular morning. I set up my tent and fell asleep. While I was sleeping the search party arrived. What happened was I woke up and heard the voices that made me
(e) feel surprise.
**THE END**

Please note that the text provided has been filled out based on the grammatical context for each blank, and the answers have been inserted directly according to your instructions. If you need further information related to the mathematical question seen in the image, please let me know!
Q&A Education