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Graph 2x^2 + 5x + 2 and (2x+1)(x+2) on separate lines of Desmos.

a. What do you notice about the graphs?
b. What are the zeros of the quadratic? How do they compare to the factors?

1 Answer

6 votes

The graphs of both equation are attached

The graphs are identical to each other and the zero are

(-2, 0) and (-1/2, 0)

The zeros are equal

How to show that the graphs are identical

The equation is rearranged to show the are identical and will result to similar graph

Expand the equation

(2x+1) (x+2)

= 2x² + 4x + x + 2

= 2x² + 5x + 2

Graph 2x^2 + 5x + 2 and (2x+1)(x+2) on separate lines of Desmos. a. What do you notice-example-1
Graph 2x^2 + 5x + 2 and (2x+1)(x+2) on separate lines of Desmos. a. What do you notice-example-2
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