Find the zeroes of the quadratic polynomial y^2 - 3y + 2
with the help of the graph.
(a) 1, - 2
(b)-1/4,3/2
(c) 6,- 1
(d) 1,2
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Answers
Answer:
option d is correct answer
Given : quadratic polynomial y² - 3y + 2
To Find : zeroes
(a) 1, - 2
(b)-1/4,3/2
(c) 6,- 1
(d) 1,2
Solution:
polynomial y² - 3y + 2
x = y² - 3y + 2
y = -2
=> x = (-2)² - 3(-2) + 2 = 4 + 6 + 2 = 12
y x
-2 12
-1 6
0 2
1 0
2 0
3 2
4 6
5 12
Plot the points and draw a smooth curve passing through the points
Graph Intersect the y axis at 1 , 2
Hence Zeroes are 1 , 2
Correct option (d) 1,2
y² - 3y + 2
= y² - y - 2y + 2
= y ( y - 1) - 2( y - 1)
= (y - 1)(y - 2)
Hence zeroes are 1 , 2
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