The x-intercepts of the graph of the function defined by (x - 2)(2x + 1) will be at (2,0) and (0.5,0).
The polynomial having a degree of two or the maximum power of the variable in a polynomial will be 2 is defined as the quadratic equation and it will cut two intercepts on the graph at x-axis.
Here we are having an equation:-
(x-2)(2x+1)=0
2x²+x-4x-2=0
2x²-3x-2=0
2x²-4x+x-2=0
2x(-1)(x-2)=0
x=2 x=0.5
Hence the x-intercepts of the graph of the function defined by (x - 2)(2x + 1) will be at (2,0) and (0.5,0).
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