Question

write a quadratic polynomial whose zeroes are -5 and -2​

Answer 1

Step-by-step explanation:

use

${x}^{2} - sx + p$

where s=

$\alpha + \beta$

and p=

$\alpha \beta$

so the required polynomial becomes

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

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