If the sum of the zeros is 2 and the product | vedclass

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Question

(D) The general form of a quadratic polynomial is given by $p(x) = k[x^{2} - (	ext{sum of zeros})x + (	ext{product of zeros})],$ where $k$ is a non-

Vedclass · Accepted Answer

$p(x)=4(x^{2}-2x+3)$

Vedclass · Answer

(D) The general form of a quadratic polynomial is given by $p(x) = k[x^{2} - (	ext{sum of zeros})x + (	ext{product of zeros})],$ where $k$ is a non-zero constant.Given that the sum of the zeros is $2$ and the product of the zeros is $3.$Substituting these values into the formula,we get $p(x) = k[x^{2} - 2x + 3].$Comparing this with the given options,if we take $k = 4,$ the polynomial becomes $p(x) = 4(x^{2} - 2x + 3).$Therefore,the correct option is $D.$

If the sum of the zeros is $2$ and the product of the zeros is $3,$ then the quadratic polynomial is........

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