find all the zeros of 2 x 4 - 3 x cube minus 3 X square + 6 x minus 2 if
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Answer:
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Answered by
2
Answer:
1,0.5,+√2,-√2
Step-by-step explanation:
on putting x=1
the entire thing becomes 0
therefore,(x-1) is a factor
on dividing using long division method
we get
____________________
x-1)2x^4-3x^3-3x^2+6x-2 (2x^3-x^2-4x+2
-(2x^4-2x^3)
-x^3-3x^2+6x-2
-(x^3+x^2)
-4x^2+6x-2
-(-4x^2+4x)
2x-2
-(2x-2)
00
therefore,we get 2x^3-x^2-4x+2
x^2(2x-1)-2(2x-1)=(2x-1)(x^2-)
therefore we will get zeroes at
1,0.5,+√2,-√2
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