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If x-2 is a factor of …

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If x-2 is a factor of the polynomial root2xraiseto2+kx+3 (root of two muliplyxraise to2+k multiplyx+3).Find value of k.

Posted by Reena Karim 8 years, 4 months ago

Rashmi Bajpayee 8 years, 3 months ago

Given: {tex}p\left( x \right) = \sqrt 2 {x^2} + kx + 3{/tex}

If (x - 2) is a factor of p(x), then

p(2) = 0

=> {tex}\sqrt 2 {\left( 2 \right)^2} + k\left( 2 \right) + 3 = 0{/tex}

=> {tex}4\sqrt 2 + 2k + 3 = 0{/tex}

=> {tex}2k = - 4\sqrt 2 - 3{/tex}

=> {tex}k = {{ - \left( {4\sqrt 2 + 3} \right)} \over 2}{/tex}

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