Question

a quadratic equation whose one root is 2 And the sum of whose roots is 0, is​

Answer 1

hope this helps you☺️

Answer 2

GIVEN :-

Let alpha and beta be two zeros of the polynomial.

According to the question ;

$\alpha = 2 \\ \\ \alpha + \beta = 0 \\ \\ \implies 2 + \beta = 0 \\ \\ \implies \boxed{\beta = - 2} \\ \\ \alpha \beta = - 4$

Now, to form a quadratic equation we can use the below formula :-

$p(x) = {x}^{2} - ( \alpha + \beta )x + \alpha \beta \\ \\ = {x}^{2} - 0x - 4 \\ \\ \boxed{p(x) = {x}^{2} - 4 }$