Match the expression to the type of quadratic and reasoning.

NOTE: Type of quadratic goes in column 2, reasoning goes in column 3. Reasoning statements start with "This expression..." You may need to scroll to see column 3!

(12 points)
Put responses in the correct input to answer the question. Select a response, navigate to the desired input and insert the response. Responses can be selected and inserted using the space bar, enter key, left mouse button or touchpad. Responses can also be moved by dragging with a mouse.
Expression Type of Quadratic Reasoning
1. x2+2x+3

2
+
2

+
3
Response area Response area
2. x2+11x+10

2
+
11

+
10
Response area Response area
3. 14x2−4x+16
14

2

4

+
16
Response area Response area
4. 4x2−20x+25
4

2

20

+
25
Response area Response area
5. x2−36

2

36
Response area Response area
6. 10x2+19x+6
10

2
+
19

+
6
Response area

1. x^2+2x+3 Quadratic with no real solutions This expression has a discriminant of less than 0, indicating no real solutions.

2. x^2+11x+10 Quadratic that can be factored This expression can be factored into two binomials.
3. 14x^2-4x+16 Perfect square trinomial This expression is a perfect square trinomial.
4. 4x^2-20x+25 Perfect square trinomial This expression is a perfect square trinomial.
5. x^2-36 Difference of squares This expression is a difference of squares.
6. 10x^2+19x+6 Quadratic that can be factored This expression can be factored into two binomials.