draw the graph of y= x² - 2x - 8 , find the zeroes of y= x² - 5x+ 6?
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Answer:
6−x−x
2
When x=−3
y=6−(−3)−(−3)
2
=6+3−9=0
When x=−2
y=6−(−2)−(−2)
2
=6+2−4=4
When x=−1
y=6−(−1)−(−1)
2
=6+1−1=6
When x=0
y=6−0−0
2
=6
When x=1
y=6−1−1
2
=4
When x=2
y=6−2−2
2
=4−4=0
List of x and y
x −3 −2 −1 0 1 2
y046 64 0
(x,y)=(−3,0),(−2,4),((−1,6),(0,6),(1,4),(2,0).
∴ graph 6−x−x
2
cuts X− axis at the points −3 and −2
∴ The zeroes of quadratic polynomial are −3 and 2.
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