draw the graph of quadratic polynomial p(x)=x²-x-2 and write the solution
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Given : quadratic polynomial p(x) = x²-x-2
To Find : draw the graph and solution
Solution:
p(x) = x²-x-2
x²-x-2 = (x - 2)(x+ 1) Hence 2 and - 1 are zeroes.
p'(x) = 2x - 1
=> x = 1/2 = 0.5 is the vertex.
x p(x)
-3 10
-2 4
-1 0 (zero)
0 -2
0.5 =2.25 ( Vertex)
1 -2
2 0 (zero)
3 4
4 10
-1 and 2 are zeroes
Plot the points and draw smooth curved line passing through points
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