Question

fine the quadratic polynomial whose zeros are -2 and -5​

Answer 1

Answer:

I have mentioned the answer in the pic..

hope it helps..

Answer 2

We know, If the roots of a Quadratic Equation are $\alpha, \: \beta$, then the Quadratic Equation will exist in the form:

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

Therefore, a Quadratic Equation having zeroes $-2, \: 5$ will be

${x}^{2} - ( - 2 - 5)x + ( - 2)( - 5)$

$= {x}^{2} - ( - 7)x + 10$

$= \boxed{{x}^{2} + 7x + 10}$