Question

Graph of the polynomial p(x)=p x ²+4x+4 is given find the value of *p*
on the graph a (2,0) ...2 is on x axis
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Answer 1

Answer:

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