Write a quadratic polynomial, sum of whose zeroes is -7 and product is -18?
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Write a quadratic polynomial, sum of whose zeroes is -7 and product is -18?
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Step-by-step explanation:
and product of the zeros of a polynomial are \(2 \sqrt{3}\) and 2.
The required polynomial g(x) is given by
\(g(x)=k\left(x^{2}-S x+P\right)\)
\(g(x)=k\left(x^{2}-2 \sqrt{3} x+2\right)\)
Hence, the quadratic polynomial is \(g(x)=k\left(x^{2}-2 \sqrt{3} x+2\right)\)where k is any non-zero real number.