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Example 9 : Find all the zeroes of 2x4 - 3x - 3x + 6x - 2, if you know that two of
its zeroes are 2 and -12.
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two zero's of equation of 2x4−3x3−3x2+6x−2 are
2,−2
then (x+2)(x−2) is factor of equation given hence
ref. image
⇒(x2−2)(2x2−3x+1)=(2x4−3x3−3x2+6x−2)
2x2−3x+1=0
⇒2x2−2x−x+1=0
2x(x−1)−1(x−1)=0
x=21 as x=1
a=21,b=1
ab=21
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