Factor completely 3x2 + x + 7.
(3x + 1)(x + 7)
(3x + 7)(x + 1)
prime
(3x + 4)(x + 3)

Option 3 - The given equation is a prime.

Step-by-step explanation:

Given : Quadratic equation

To find : The factors of given equation.

Solution : To factories the given equation

We will apply discriminant method

General form -

Solution is

Equation is

where a=3 , b=1, c=7

Solution is

Therefore, The factors are

So, 1,2,4 are not the options.

Now, check for prime

In a quadratic equation if form a complete square then it is not prime and vice-versa.

In this question  does not make a perfect square.

Therefore, It is a prime.

Option 3 is correct.

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step-by-step explanation:

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when rotating a figure 180 degrees, imagine that you are able to take the figure and turn it clockwise or counterclockwise around a center point. to rotate a figure 180 degrees, you will need to apply the rule (x, y) → (-x, -y). start by using a coordinate grid with coordinates for each vertex of the figure. the center point of the coordinate grid is located at (0, 0), which is what you will rotate the figure around. write down the original coordinates of the shape you are going to rotate. then, apply the rule. for example, coordinate (1, 2) becomes (-1, -2). another example would be, coordinate (-4, -2) becoming (4, 2). after you change each original coordinate to the rotated coordinate, you will draw your new figure.

step-by-step explanation: