Obtain the other zeroes of the polynomial
f(x) = 2x^4+ 3x^3- 5 x ²-9 x -
3 of two of its
zeroes are 13 and 13
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Asked on December 20, 2019 by
Ràdhīka Karkera
Find all zeroes of the polynomial (2x
4
−9x
3
+5x
2
+3x−1) if two of its zeroes are (2+
3
)and(2−
3
).
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ANSWER
X = 2 + √3 and x = 2 - √3 are Zeros of p ( x )
( x - 2 - √3 ) ( x - 2 + √3 )
( using identity ( a - b ) ( a +b ) = a² - b²
then,
( x - 2 )² - ( √3 )²
x² + 4 - 4x - 3
x² + 1 - 4x .... ( i )
When we divide p ( x ) by ( i ) we get the other zeros
Other zeros are :- x = 1 and x = -1/2
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Answer:
Refer to the above answer
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