<span>We have to find the value of x if the measures of the angles of a triangle are: 2 x, 3 x and 4 x. We know that the sum of the measures of the angles of a triangle is 180 degrees. A + B + C = 180. Here we have: A = 2 x, B = 3 x and C = 4 x; 2 x + 3 x + 4 x = 180; 9 x = 180; x = 180 : 9. Answer: x = 20 degrees.</span>
Answer:

Step-by-step explanation:
Given

Required
The vertex
We have:

First, we express the equation as:

Where

So, we have:

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Take the coefficient of x: -1
Divide by 2: (-1/2)
Square: (-1/2)^2
Add and subtract this to the equation
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Expand

Factorize

Factor out x - 1/2




Compare to: 


Hence:

Given:
The polynomial is:

To find:
The simplified form of the given polynomial in standard form.
Solution:
We have,

Combining the like terms, we get


Now, rewrite this polynomial in standard form.

Therefore, the required polynomial in standard form is
.
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