check weither x²-3 is a factor of polynomial p(x)=2x⁴+3x³-2x²-9x-12
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yes it is the required factor and for solution see the pic
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Hiii friend,
(X²-3) = 0
X = ✓3
P(X) = 2X⁴+3X³-2X²-9X-12
P(✓3) = 2 × (✓3)⁴ + 3 × (✓3)³ - 2 × (✓3)² - 9 × ✓3 -12
=> 2 × 9 + 3 × 3✓3 - 2 × 3 - 9✓3
=> 18 + 9✓3 -6 -9✓3
=> 18 -6 -12 = 18-18 = 0
Remainder is equal to 0.
So,
X²-3 is a factor of 2X⁴+3X³-2X²-9X.
HOPE IT WILL HELP YOU..... :-)
(X²-3) = 0
X = ✓3
P(X) = 2X⁴+3X³-2X²-9X-12
P(✓3) = 2 × (✓3)⁴ + 3 × (✓3)³ - 2 × (✓3)² - 9 × ✓3 -12
=> 2 × 9 + 3 × 3✓3 - 2 × 3 - 9✓3
=> 18 + 9✓3 -6 -9✓3
=> 18 -6 -12 = 18-18 = 0
Remainder is equal to 0.
So,
X²-3 is a factor of 2X⁴+3X³-2X²-9X.
HOPE IT WILL HELP YOU..... :-)
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