Question

find a quadratic polynomial sum of whose zeros are root 2 and their product is -12 also find the zeros​

Answer 1

Step-by-step explanation:

Any Quadratic Polynomial is of the form,

\begin{lgathered}p(x) = K [ x^{2} - (\alpha +\beta )x + \alpha \beta ] \\\\\end{lgathered}

p(x)=K[x

2

−(α+β)x+αβ]

where K is any integer and \alphaα and \betaβ are its roots.

Now,

Sum of roots = \alpha +\betaα+β = 2√3

product of roots = \alpha\betaαβ = 2

therefore,

p(x) = x^{2} - 2\sqrt{3} \ x \ + 2p(x)=x

2

−2

3

x +2

Answer 2

Step-by-step explanation:

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