Question

Draw the graph of y = 6-x - x² and find the zeroes .

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Answer 1

Answer:

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Answer 2

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.