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Given Polynomial P(x) = x^2-x-12
To get the zeores we write P(x) = 0
=> x^2-x-12 = 0
=>x^2-4x+3x-12 = 0
=>x(x-4)+3(x-4)=0
=>(x-4)(x+3) = 0
=>x-4 = 0 or x+3 = 0
=>x = 4 or x =-3
The zeroes are 4 and -3
Graph of x^2-x-12:-
points:
The points are (0,-12),(1,-12),(2,-10),(3,-6),(4,0),(-1,-10),(-2,-6),(-3,0)
Scale :-
Taking on x-axis 1 cm = 1 unit
On y-axis 1 cm = 2 units
Observation:-
The graph of the given Polynomial is a u-shaped curve is called Parabola.
The graph cuts the x-axis at (4,0) and (-3,0)
Result:-
The zeroes are 4 and -3
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