given that,root 2 is the zero of the cubic polynomial 6x^3+root 2 x^2-10x-4root^2, find it's other zeroes
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heya
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Hii friend,
✓2 is the factor of the given polynomial
(X-✓2) is the factor of the polynomial 6X³+✓2X²-10X-4✓2
Divide the polynomial 6X³-✓2X-10X-4✓2 by X-✓2. Then we get,
Quotient = 6X²+7✓2X+4
Factories the Quotient ,
6X²+7✓2X+4
6X²+4✓2X+3✓2X + 4
2X(3X + 2✓2) + ✓2(3X+2✓2)
(3X+2✓2) ( 2X+✓2)
3X = -2✓2. OR 2X = -✓2
X = -2✓2/3. OR X = -✓2/2
Hence,
-2✓2/3 and -✓2/2 are the two other ZEROS of the polynomial
HOPE U GOT IT...... :-)
✓2 is the factor of the given polynomial
(X-✓2) is the factor of the polynomial 6X³+✓2X²-10X-4✓2
Divide the polynomial 6X³-✓2X-10X-4✓2 by X-✓2. Then we get,
Quotient = 6X²+7✓2X+4
Factories the Quotient ,
6X²+7✓2X+4
6X²+4✓2X+3✓2X + 4
2X(3X + 2✓2) + ✓2(3X+2✓2)
(3X+2✓2) ( 2X+✓2)
3X = -2✓2. OR 2X = -✓2
X = -2✓2/3. OR X = -✓2/2
Hence,
-2✓2/3 and -✓2/2 are the two other ZEROS of the polynomial
HOPE U GOT IT...... :-)
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