Question

form a quadratic polynomial if the zeros of the quadratic polynomial are -1 and -2 respectively​

Answer 1

Step-by-step explanation:

For any quadratic equation

$a {x}^{2} + bx + c = 0$

We know that

$sum \: of \: roots \: is \: \: \frac{ - b}{a}$

$\frac{ - b}{a} = - 3$

$Product \: of \: roots \: is \: \frac{c}{a} = 2$

Hence

$a = 1 \: \: b = 3 \: \: \: c = 2$

And the equation is

${x}^{2} + 3x + 2 = 0$