if two zeros of the polynomial x cube minus 4 x square - 3 x + 12 are under root 3and minus under root 3 find its third zero
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Hii friend,
(✓3) and -✓3 are the zeros of the given polynomial.
(X-✓3)(X+✓3) => X²-(✓3)² => (X²-3)
P(X) => X³-4X²-3X+12
On dividing P(X) by G(X) we get,
Remainder => 0
Quotient => (X-4)
Therefore,
(X-4) => 0
X = 4
Hence,
It's third zero is 4.
HOPE IT WILL HELP YOU...... :-)
(✓3) and -✓3 are the zeros of the given polynomial.
(X-✓3)(X+✓3) => X²-(✓3)² => (X²-3)
P(X) => X³-4X²-3X+12
On dividing P(X) by G(X) we get,
Remainder => 0
Quotient => (X-4)
Therefore,
(X-4) => 0
X = 4
Hence,
It's third zero is 4.
HOPE IT WILL HELP YOU...... :-)
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