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  • Given that ?2 is a zero of the cubic polynomial 6x³+?2x²-10x-4?2.find its other zeroes?

Given that ?2 is a zero of the cubic polynomial 6x³+?2x²-10x-4?2.find its other zeroes?

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Given;polynomial;is;p(x)=6x^3+sqrt2x^2-10x-4sqrt2\* Since;x= sqrt2;is;a;zero;of;p(x)\*Rightarrow (x-sqrt2) ;will;be;a; factor;of;p(x)\*Now;divide;p(x);by;(x-sqrt2)\*Rightarrow frac6x^3+sqrt2x^2-10x-4sqrt2x-sqrt2=6x^2+7sqrt2+4\* To;find;other;two;roots;factorize;6x^2+7sqrt2+4\* On;factorizing;this;we;got;6x^2+7sqrt2+4=(3x+2sqrt2)(2x+sqrt2)\* So;other;two;roots;are;x=-frac2sqrt23;and;x=-frac1sqrt2

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Deependra Verma

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