If the sum of the zeros is -7 and the product | vedclass

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Question

(C) quadratic polynomial with zeros $\alpha$ and $\beta$ is given by the formula: $p(x) = k[x^2 - (\alpha + \beta)x + (\alpha\beta)]$,where $k$ is a c

Vedclass · Accepted Answer

$p(x) = x^2 + 7x + 12$

Vedclass · Answer

(C) quadratic polynomial with zeros $\alpha$ and $\beta$ is given by the formula: $p(x) = k[x^2 - (\alpha + \beta)x + (\alpha\beta)]$,where $k$ is a constant.Given that the sum of the zeros $(\alpha + \beta) = -7$ and the product of the zeros $(\alpha\beta) = 12$.Substituting these values into the formula:$p(x) = x^2 - (-7)x + (12)$$p(x) = x^2 + 7x + 12$Thus,the correct option is $C$.

If the sum of the zeros is $-7$ and the product of the zeros is $12$,then the quadratic polynomial is $\ldots \ldots \ldots$

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