Draw the graph of the polynomial y = x² + 5x + 6. Find the Zeroes.
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Answer:
x^2+5x+6=x^2+2x+3x+6=x(x+2)+3(x+2)=x=-2or-3
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Step-by-step explanation:
Solution:-
See the above attachment
Given Polynomial is x^2+5x+6
To get zeores we write
x^2+5x+6=0
=>x^2+2x+3x+6=0
=>x(x+2)+3(x+2)=0
=>(x+2)(x+3)=0
=>x+2=0 or x+3=0
=>x=-2 or -3
Zeroes are -2 and -3
Scale :-
On x-axis 1 cm = 1 unit
On y-axis 1 cm = 2 units
Observation:-
The graph of the given Polynomial is an u -ahaped curve .It is called Parabola
It cut the x-axis at (-2,0) and (-3,0)
The zeores are -2 and -3
Attachments:
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