The quadratic polynomial whose zeroes are 2 and - 2 is - * x² - 4x - 4 x² + 4x + 4 x² - 4 x² + 4
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Step-by-step explanation:
Given quadratic polynomial is y=x
2
−4x+4
To find the points on the graph, we will substitute few values of x and find the values of y.
If x=0, then y=0
2
−4×0+4=0−0+4=4
If x=1, then y=1
2
−4×1+4=1−4+4=1
If x=2, then y=2
2
−4×2+4=4−8+4=0
So, the points are (0,4),(1,1),(2,0).
Plotting (0,4),(1,1),(2,0) and joining them.
Here, the graph cuts x-axis at one distinct point A.
The x-coordinates of A(2,0) is the one zeroes of the quadratic polynomial y=x
2
−4x+4
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