Factor completely and then place the factors in the proper location on the grid. 4n 2 + 28n + 49
2 answers:
Answer:
The given quadratic equation factored as
Step-by-step explanation:
Given quadratic equation
We have to factorize the given quadratic equation and make the grid of factors.
Consider the given quadratic equation
Using algebraic identity,
On comparing, we get,
also,
Thus, the given quadratic equation factored as
The grid is shown in attachment below.
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It had taken a while for me to understand the problem. From what I understood, the given pairs of points are tabulated below:
x f(x)
-7 -11
-1 1
3 9
4 11
7 17
Then, the choices are equations in terms of x. The correct equation should yield the pairs tabulated above when the x-values are substituted into the equation. So, the solution is basically just substituting x to each of those equations, then you get the corresponding y values. Check which of those question has pairs similar to the given. I suggest that you tabulate the numbers so that it would be easier for you. For me, I used MS Excel as shown in the picture. Th x-values are in the first column gathered from the given. I applied the equations to get the f(x) values. As you can see, the pairs matched with the third column. Therefore, the answer is: f(x) = 2x+3.
x f(x)
-7 -11
-1 1
3 9
4 11
7 17
Then, the choices are equations in terms of x. The correct equation should yield the pairs tabulated above when the x-values are substituted into the equation. So, the solution is basically just substituting x to each of those equations, then you get the corresponding y values. Check which of those question has pairs similar to the given. I suggest that you tabulate the numbers so that it would be easier for you. For me, I used MS Excel as shown in the picture. Th x-values are in the first column gathered from the given. I applied the equations to get the f(x) values. As you can see, the pairs matched with the third column. Therefore, the answer is: f(x) = 2x+3.