Q.8.Find a cubic polynomial with zeroes as - ½ ,
2 and 2/3
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Step-by-step explanation:
f(x)=2x
2
−3x
2
−3x+2
f(−1)=−2−3+3+2
f(−1)=0
As f−1=0
∴(x+1) is a factor of f(x)
f(x)=(x+1)(2x
2
−5x+2
f(x)=(x+1)(2x
2
−4x−−x+2)
f(x)=(x+1)(2x−1)(x−2)
f(x)=0
∴x=−1,
2
1
,2.
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