Question

find a quadratic polynomial whose sum and product of zeroes are -3 and 4​

Answer 1

$\large{\underline{\boxed{ Answer}}}$

Let alpha and beta be the zeroes of polynomial.

we have,

$\alpha + \beta = - 3$

$\alpha \beta = 4$

We know that the general form of quadratic equation in term of their zeroes:-

$\boxed{\sf{ {x}^{2} - ( \alpha + \beta )x + \alpha \beta }}$

now put the value,

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

$= {x}^{2} + 3x + 4$

hence, the required quadratic equation is ${x}^{2} + 3x + 4$

Answer 2

x^2+3x+4= 0

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